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Finding the Third Proportional to 37,872 and 53,102

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Solution

The third proportional to 37,872 and 53,102 is: 74,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872 : 53,102 = 53,102 : x
  2. Step 2: Convert to fraction form
    37,872/53,102 = 53,102/x
  3. Step 3: Cross multiply
    37,872x = 53,102 × 53,102
  4. Step 4: Simplify right side
    37,872x = 2,819,822,404
  5. Step 5: Solve for x
    x = 2,819,822,404/37,872
  6. Step 6: Final answer
    x = 74,456.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.