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Finding the Third Proportional to 29,737.88 and 64,118.25

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Solution

The third proportional to 29,737.88 and 64,118.25 is: 138,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,737.88 : 64,118.25 = 64,118.25 : x
  2. Step 2: Convert to fraction form
    29,737.88/64,118.25 = 64,118.25/x
  3. Step 3: Cross multiply
    29,737.88x = 64,118.25 × 64,118.25
  4. Step 4: Simplify right side
    29,737.88x = 4,111,149,983.06
  5. Step 5: Solve for x
    x = 4,111,149,983.06/29,737.88
  6. Step 6: Final answer
    x = 138,246.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.