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Finding the Third Proportional to 37,347 and 79,716

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Solution

The third proportional to 37,347 and 79,716 is: 170,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347 : 79,716 = 79,716 : x
  2. Step 2: Convert to fraction form
    37,347/79,716 = 79,716/x
  3. Step 3: Cross multiply
    37,347x = 79,716 × 79,716
  4. Step 4: Simplify right side
    37,347x = 6,354,640,656
  5. Step 5: Solve for x
    x = 6,354,640,656/37,347
  6. Step 6: Final answer
    x = 170,151.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.