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Finding the Third Proportional to 29,424.09 and 63,737.72

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Solution

The third proportional to 29,424.09 and 63,737.72 is: 138,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424.09 : 63,737.72 = 63,737.72 : x
  2. Step 2: Convert to fraction form
    29,424.09/63,737.72 = 63,737.72/x
  3. Step 3: Cross multiply
    29,424.09x = 63,737.72 × 63,737.72
  4. Step 4: Simplify right side
    29,424.09x = 4,062,496,791.45
  5. Step 5: Solve for x
    x = 4,062,496,791.45/29,424.09
  6. Step 6: Final answer
    x = 138,067.01

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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.