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Finding the Third Proportional to 24,749.25 and 37,335.75

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Solution

The third proportional to 24,749.25 and 37,335.75 is: 56,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.25 : 37,335.75 = 37,335.75 : x
  2. Step 2: Convert to fraction form
    24,749.25/37,335.75 = 37,335.75/x
  3. Step 3: Cross multiply
    24,749.25x = 37,335.75 × 37,335.75
  4. Step 4: Simplify right side
    24,749.25x = 1,393,958,228.06
  5. Step 5: Solve for x
    x = 1,393,958,228.06/24,749.25
  6. Step 6: Final answer
    x = 56,323.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.