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Finding the Third Proportional to 37,972 and 59,652

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Solution

The third proportional to 37,972 and 59,652 is: 93,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972 : 59,652 = 59,652 : x
  2. Step 2: Convert to fraction form
    37,972/59,652 = 59,652/x
  3. Step 3: Cross multiply
    37,972x = 59,652 × 59,652
  4. Step 4: Simplify right side
    37,972x = 3,558,361,104
  5. Step 5: Solve for x
    x = 3,558,361,104/37,972
  6. Step 6: Final answer
    x = 93,710.13

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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.