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Finding the Third Proportional to 37,513.13 and 79,248.38

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Solution

The third proportional to 37,513.13 and 79,248.38 is: 167,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,513.13 : 79,248.38 = 79,248.38 : x
  2. Step 2: Convert to fraction form
    37,513.13/79,248.38 = 79,248.38/x
  3. Step 3: Cross multiply
    37,513.13x = 79,248.38 × 79,248.38
  4. Step 4: Simplify right side
    37,513.13x = 6,280,304,940.14
  5. Step 5: Solve for x
    x = 6,280,304,940.14/37,513.13
  6. Step 6: Final answer
    x = 167,416.20

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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.