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Finding the Third Proportional to 29,647.69 and 63,460.13

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Solution

The third proportional to 29,647.69 and 63,460.13 is: 135,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.69 : 63,460.13 = 63,460.13 : x
  2. Step 2: Convert to fraction form
    29,647.69/63,460.13 = 63,460.13/x
  3. Step 3: Cross multiply
    29,647.69x = 63,460.13 × 63,460.13
  4. Step 4: Simplify right side
    29,647.69x = 4,027,187,465.02
  5. Step 5: Solve for x
    x = 4,027,187,465.02/29,647.69
  6. Step 6: Final answer
    x = 135,834.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.