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Finding the Third Proportional to 37,833.75 and 59,356.13

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Solution

The third proportional to 37,833.75 and 59,356.13 is: 93,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,833.75 : 59,356.13 = 59,356.13 : x
  2. Step 2: Convert to fraction form
    37,833.75/59,356.13 = 59,356.13/x
  3. Step 3: Cross multiply
    37,833.75x = 59,356.13 × 59,356.13
  4. Step 4: Simplify right side
    37,833.75x = 3,523,149,575.02
  5. Step 5: Solve for x
    x = 3,523,149,575.02/37,833.75
  6. Step 6: Final answer
    x = 93,121.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.