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Finding the Third Proportional to 14,731.88 and 22,129.88

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Solution

The third proportional to 14,731.88 and 22,129.88 is: 33,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.88 : 22,129.88 = 22,129.88 : x
  2. Step 2: Convert to fraction form
    14,731.88/22,129.88 = 22,129.88/x
  3. Step 3: Cross multiply
    14,731.88x = 22,129.88 × 22,129.88
  4. Step 4: Simplify right side
    14,731.88x = 489,731,367.52
  5. Step 5: Solve for x
    x = 489,731,367.52/14,731.88
  6. Step 6: Final answer
    x = 33,242.98

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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.