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Finding the Third Proportional to 14,125.50 and 20,657.88

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Solution

The third proportional to 14,125.50 and 20,657.88 is: 30,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.50 : 20,657.88 = 20,657.88 : x
  2. Step 2: Convert to fraction form
    14,125.50/20,657.88 = 20,657.88/x
  3. Step 3: Cross multiply
    14,125.50x = 20,657.88 × 20,657.88
  4. Step 4: Simplify right side
    14,125.50x = 426,747,799.52
  5. Step 5: Solve for x
    x = 426,747,799.52/14,125.50
  6. Step 6: Final answer
    x = 30,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.