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Finding the Third Proportional to 29,454 and 63,646.50

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Solution

The third proportional to 29,454 and 63,646.50 is: 137,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454 : 63,646.50 = 63,646.50 : x
  2. Step 2: Convert to fraction form
    29,454/63,646.50 = 63,646.50/x
  3. Step 3: Cross multiply
    29,454x = 63,646.50 × 63,646.50
  4. Step 4: Simplify right side
    29,454x = 4,050,876,962.25
  5. Step 5: Solve for x
    x = 4,050,876,962.25/29,454
  6. Step 6: Final answer
    x = 137,532.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.