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Finding the Third Proportional to 37,032 and 58,897

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Solution

The third proportional to 37,032 and 58,897 is: 93,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032 : 58,897 = 58,897 : x
  2. Step 2: Convert to fraction form
    37,032/58,897 = 58,897/x
  3. Step 3: Cross multiply
    37,032x = 58,897 × 58,897
  4. Step 4: Simplify right side
    37,032x = 3,468,856,609
  5. Step 5: Solve for x
    x = 3,468,856,609/37,032
  6. Step 6: Final answer
    x = 93,671.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.