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Finding the Third Proportional to 37,108.13 and 42,211.13

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Solution

The third proportional to 37,108.13 and 42,211.13 is: 48,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,108.13 : 42,211.13 = 42,211.13 : x
  2. Step 2: Convert to fraction form
    37,108.13/42,211.13 = 42,211.13/x
  3. Step 3: Cross multiply
    37,108.13x = 42,211.13 × 42,211.13
  4. Step 4: Simplify right side
    37,108.13x = 1,781,779,073.77
  5. Step 5: Solve for x
    x = 1,781,779,073.77/37,108.13
  6. Step 6: Final answer
    x = 48,015.87

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.