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Finding the Third Proportional to 27,712.13 and 37,437.19

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Solution

The third proportional to 27,712.13 and 37,437.19 is: 50,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.13 : 37,437.19 = 37,437.19 : x
  2. Step 2: Convert to fraction form
    27,712.13/37,437.19 = 37,437.19/x
  3. Step 3: Cross multiply
    27,712.13x = 37,437.19 × 37,437.19
  4. Step 4: Simplify right side
    27,712.13x = 1,401,543,007.91
  5. Step 5: Solve for x
    x = 1,401,543,007.91/27,712.13
  6. Step 6: Final answer
    x = 50,575.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.