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Finding the Third Proportional to 37,152 and 55,792

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Solution

The third proportional to 37,152 and 55,792 is: 83,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,152 : 55,792 = 55,792 : x
  2. Step 2: Convert to fraction form
    37,152/55,792 = 55,792/x
  3. Step 3: Cross multiply
    37,152x = 55,792 × 55,792
  4. Step 4: Simplify right side
    37,152x = 3,112,747,264
  5. Step 5: Solve for x
    x = 3,112,747,264/37,152
  6. Step 6: Final answer
    x = 83,784.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.