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Finding the Third Proportional to 39,663 and 83,217

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Solution

The third proportional to 39,663 and 83,217 is: 174,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,663 : 83,217 = 83,217 : x
  2. Step 2: Convert to fraction form
    39,663/83,217 = 83,217/x
  3. Step 3: Cross multiply
    39,663x = 83,217 × 83,217
  4. Step 4: Simplify right side
    39,663x = 6,925,069,089
  5. Step 5: Solve for x
    x = 6,925,069,089/39,663
  6. Step 6: Final answer
    x = 174,597.71

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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.