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Finding the Third Proportional to 39,897 and 83,922

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Solution

The third proportional to 39,897 and 83,922 is: 176,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,897 : 83,922 = 83,922 : x
  2. Step 2: Convert to fraction form
    39,897/83,922 = 83,922/x
  3. Step 3: Cross multiply
    39,897x = 83,922 × 83,922
  4. Step 4: Simplify right side
    39,897x = 7,042,902,084
  5. Step 5: Solve for x
    x = 7,042,902,084/39,897
  6. Step 6: Final answer
    x = 176,527.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.