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Finding the Third Proportional to 37,126.13 and 54,010.13

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Solution

The third proportional to 37,126.13 and 54,010.13 is: 78,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126.13 : 54,010.13 = 54,010.13 : x
  2. Step 2: Convert to fraction form
    37,126.13/54,010.13 = 54,010.13/x
  3. Step 3: Cross multiply
    37,126.13x = 54,010.13 × 54,010.13
  4. Step 4: Simplify right side
    37,126.13x = 2,917,093,602.52
  5. Step 5: Solve for x
    x = 2,917,093,602.52/37,126.13
  6. Step 6: Final answer
    x = 78,572.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.