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Finding the Third Proportional to 24,190.31 and 35,349.75

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Solution

The third proportional to 24,190.31 and 35,349.75 is: 51,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.31 : 35,349.75 = 35,349.75 : x
  2. Step 2: Convert to fraction form
    24,190.31/35,349.75 = 35,349.75/x
  3. Step 3: Cross multiply
    24,190.31x = 35,349.75 × 35,349.75
  4. Step 4: Simplify right side
    24,190.31x = 1,249,604,825.06
  5. Step 5: Solve for x
    x = 1,249,604,825.06/24,190.31
  6. Step 6: Final answer
    x = 51,657.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.