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Finding the Third Proportional to 37,324 and 54,897

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Solution

The third proportional to 37,324 and 54,897 is: 80,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324 : 54,897 = 54,897 : x
  2. Step 2: Convert to fraction form
    37,324/54,897 = 54,897/x
  3. Step 3: Cross multiply
    37,324x = 54,897 × 54,897
  4. Step 4: Simplify right side
    37,324x = 3,013,680,609
  5. Step 5: Solve for x
    x = 3,013,680,609/37,324
  6. Step 6: Final answer
    x = 80,743.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.