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Finding the Third Proportional to 13,177.13 and 19,744.88

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Solution

The third proportional to 13,177.13 and 19,744.88 is: 29,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.13 : 19,744.88 = 19,744.88 : x
  2. Step 2: Convert to fraction form
    13,177.13/19,744.88 = 19,744.88/x
  3. Step 3: Cross multiply
    13,177.13x = 19,744.88 × 19,744.88
  4. Step 4: Simplify right side
    13,177.13x = 389,860,088.77
  5. Step 5: Solve for x
    x = 389,860,088.77/13,177.13
  6. Step 6: Final answer
    x = 29,586.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.