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Finding the Third Proportional to 38,897 and 83,705

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Solution

The third proportional to 38,897 and 83,705 is: 180,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897 : 83,705 = 83,705 : x
  2. Step 2: Convert to fraction form
    38,897/83,705 = 83,705/x
  3. Step 3: Cross multiply
    38,897x = 83,705 × 83,705
  4. Step 4: Simplify right side
    38,897x = 7,006,527,025
  5. Step 5: Solve for x
    x = 7,006,527,025/38,897
  6. Step 6: Final answer
    x = 180,130.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.