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Finding the Third Proportional to 17,706 and 38,534

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Solution

The third proportional to 17,706 and 38,534 is: 83,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706 : 38,534 = 38,534 : x
  2. Step 2: Convert to fraction form
    17,706/38,534 = 38,534/x
  3. Step 3: Cross multiply
    17,706x = 38,534 × 38,534
  4. Step 4: Simplify right side
    17,706x = 1,484,869,156
  5. Step 5: Solve for x
    x = 1,484,869,156/17,706
  6. Step 6: Final answer
    x = 83,862.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.