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Finding the Third Proportional to 37,897 and 63,157

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Solution

The third proportional to 37,897 and 63,157 is: 105,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,897 : 63,157 = 63,157 : x
  2. Step 2: Convert to fraction form
    37,897/63,157 = 63,157/x
  3. Step 3: Cross multiply
    37,897x = 63,157 × 63,157
  4. Step 4: Simplify right side
    37,897x = 3,988,806,649
  5. Step 5: Solve for x
    x = 3,988,806,649/37,897
  6. Step 6: Final answer
    x = 105,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.