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Finding the Third Proportional to 11,948.63 and 16,711.88

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Solution

The third proportional to 11,948.63 and 16,711.88 is: 23,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.63 : 16,711.88 = 16,711.88 : x
  2. Step 2: Convert to fraction form
    11,948.63/16,711.88 = 16,711.88/x
  3. Step 3: Cross multiply
    11,948.63x = 16,711.88 × 16,711.88
  4. Step 4: Simplify right side
    11,948.63x = 279,286,766.02
  5. Step 5: Solve for x
    x = 279,286,766.02/11,948.63
  6. Step 6: Final answer
    x = 23,373.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.