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Finding the Third Proportional to 37,461.38 and 79,690.13

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Solution

The third proportional to 37,461.38 and 79,690.13 is: 169,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,461.38 : 79,690.13 = 79,690.13 : x
  2. Step 2: Convert to fraction form
    37,461.38/79,690.13 = 79,690.13/x
  3. Step 3: Cross multiply
    37,461.38x = 79,690.13 × 79,690.13
  4. Step 4: Simplify right side
    37,461.38x = 6,350,516,022.52
  5. Step 5: Solve for x
    x = 6,350,516,022.52/37,461.38
  6. Step 6: Final answer
    x = 169,521.70

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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.