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Finding the Third Proportional to 29,404.90 and 61,646.06

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Solution

The third proportional to 29,404.90 and 61,646.06 is: 129,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,404.90 : 61,646.06 = 61,646.06 : x
  2. Step 2: Convert to fraction form
    29,404.90/61,646.06 = 61,646.06/x
  3. Step 3: Cross multiply
    29,404.90x = 61,646.06 × 61,646.06
  4. Step 4: Simplify right side
    29,404.90x = 3,800,237,021.75
  5. Step 5: Solve for x
    x = 3,800,237,021.75/29,404.90
  6. Step 6: Final answer
    x = 129,238.23

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.