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Finding the Third Proportional to 39,416 and 83,272

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Solution

The third proportional to 39,416 and 83,272 is: 175,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,416 : 83,272 = 83,272 : x
  2. Step 2: Convert to fraction form
    39,416/83,272 = 83,272/x
  3. Step 3: Cross multiply
    39,416x = 83,272 × 83,272
  4. Step 4: Simplify right side
    39,416x = 6,934,225,984
  5. Step 5: Solve for x
    x = 6,934,225,984/39,416
  6. Step 6: Final answer
    x = 175,924.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.