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Finding the Third Proportional to 29,802 and 63,157.50

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Solution

The third proportional to 29,802 and 63,157.50 is: 133,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802 : 63,157.50 = 63,157.50 : x
  2. Step 2: Convert to fraction form
    29,802/63,157.50 = 63,157.50/x
  3. Step 3: Cross multiply
    29,802x = 63,157.50 × 63,157.50
  4. Step 4: Simplify right side
    29,802x = 3,988,869,806.25
  5. Step 5: Solve for x
    x = 3,988,869,806.25/29,802
  6. Step 6: Final answer
    x = 133,845.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.