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Finding the Third Proportional to 29,098.13 and 63,525.38

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Solution

The third proportional to 29,098.13 and 63,525.38 is: 138,684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098.13 : 63,525.38 = 63,525.38 : x
  2. Step 2: Convert to fraction form
    29,098.13/63,525.38 = 63,525.38/x
  3. Step 3: Cross multiply
    29,098.13x = 63,525.38 × 63,525.38
  4. Step 4: Simplify right side
    29,098.13x = 4,035,473,268.89
  5. Step 5: Solve for x
    x = 4,035,473,268.89/29,098.13
  6. Step 6: Final answer
    x = 138,684.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.