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Finding the Third Proportional to 13,110.61 and 20,451.23

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Solution

The third proportional to 13,110.61 and 20,451.23 is: 31,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.61 : 20,451.23 = 20,451.23 : x
  2. Step 2: Convert to fraction form
    13,110.61/20,451.23 = 20,451.23/x
  3. Step 3: Cross multiply
    13,110.61x = 20,451.23 × 20,451.23
  4. Step 4: Simplify right side
    13,110.61x = 418,252,987.46
  5. Step 5: Solve for x
    x = 418,252,987.46/13,110.61
  6. Step 6: Final answer
    x = 31,901.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.