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Finding the Third Proportional to 37,068 and 57,483

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Solution

The third proportional to 37,068 and 57,483 is: 89,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,068 : 57,483 = 57,483 : x
  2. Step 2: Convert to fraction form
    37,068/57,483 = 57,483/x
  3. Step 3: Cross multiply
    37,068x = 57,483 × 57,483
  4. Step 4: Simplify right side
    37,068x = 3,304,295,289
  5. Step 5: Solve for x
    x = 3,304,295,289/37,068
  6. Step 6: Final answer
    x = 89,141.45

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Why These Related Problems?

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