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Finding the Third Proportional to 37,358 and 79,660

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Solution

The third proportional to 37,358 and 79,660 is: 169,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,358 : 79,660 = 79,660 : x
  2. Step 2: Convert to fraction form
    37,358/79,660 = 79,660/x
  3. Step 3: Cross multiply
    37,358x = 79,660 × 79,660
  4. Step 4: Simplify right side
    37,358x = 6,345,715,600
  5. Step 5: Solve for x
    x = 6,345,715,600/37,358
  6. Step 6: Final answer
    x = 169,862.29

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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.