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Finding the Third Proportional to 29,534.81 and 63,990.38

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Solution

The third proportional to 29,534.81 and 63,990.38 is: 138,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.81 : 63,990.38 = 63,990.38 : x
  2. Step 2: Convert to fraction form
    29,534.81/63,990.38 = 63,990.38/x
  3. Step 3: Cross multiply
    29,534.81x = 63,990.38 × 63,990.38
  4. Step 4: Simplify right side
    29,534.81x = 4,094,768,092.64
  5. Step 5: Solve for x
    x = 4,094,768,092.64/29,534.81
  6. Step 6: Final answer
    x = 138,642.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.