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Finding the Third Proportional to 24,114 and 37,551.75

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Solution

The third proportional to 24,114 and 37,551.75 is: 58,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114 : 37,551.75 = 37,551.75 : x
  2. Step 2: Convert to fraction form
    24,114/37,551.75 = 37,551.75/x
  3. Step 3: Cross multiply
    24,114x = 37,551.75 × 37,551.75
  4. Step 4: Simplify right side
    24,114x = 1,410,133,928.06
  5. Step 5: Solve for x
    x = 1,410,133,928.06/24,114
  6. Step 6: Final answer
    x = 58,477.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.