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Finding the Third Proportional to 19,432.88 and 41,201.13

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Solution

The third proportional to 19,432.88 and 41,201.13 is: 87,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432.88 : 41,201.13 = 41,201.13 : x
  2. Step 2: Convert to fraction form
    19,432.88/41,201.13 = 41,201.13/x
  3. Step 3: Cross multiply
    19,432.88x = 41,201.13 × 41,201.13
  4. Step 4: Simplify right side
    19,432.88x = 1,697,532,701.27
  5. Step 5: Solve for x
    x = 1,697,532,701.27/19,432.88
  6. Step 6: Final answer
    x = 87,353.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.