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Finding the Third Proportional to 38,036.53 and 59,127.19

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Solution

The third proportional to 38,036.53 and 59,127.19 is: 91,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036.53 : 59,127.19 = 59,127.19 : x
  2. Step 2: Convert to fraction form
    38,036.53/59,127.19 = 59,127.19/x
  3. Step 3: Cross multiply
    38,036.53x = 59,127.19 × 59,127.19
  4. Step 4: Simplify right side
    38,036.53x = 3,496,024,301.66
  5. Step 5: Solve for x
    x = 3,496,024,301.66/38,036.53
  6. Step 6: Final answer
    x = 91,912.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.