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Finding the Third Proportional to 37,890.75 and 59,442

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Solution

The third proportional to 37,890.75 and 59,442 is: 93,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890.75 : 59,442 = 59,442 : x
  2. Step 2: Convert to fraction form
    37,890.75/59,442 = 59,442/x
  3. Step 3: Cross multiply
    37,890.75x = 59,442 × 59,442
  4. Step 4: Simplify right side
    37,890.75x = 3,533,351,364
  5. Step 5: Solve for x
    x = 3,533,351,364/37,890.75
  6. Step 6: Final answer
    x = 93,251.03

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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.