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Finding the Third Proportional to 9,864 and 14,758.88

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Solution

The third proportional to 9,864 and 14,758.88 is: 22,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 14,758.88 = 14,758.88 : x
  2. Step 2: Convert to fraction form
    9,864/14,758.88 = 14,758.88/x
  3. Step 3: Cross multiply
    9,864x = 14,758.88 × 14,758.88
  4. Step 4: Simplify right side
    9,864x = 217,824,391.27
  5. Step 5: Solve for x
    x = 217,824,391.27/9,864
  6. Step 6: Final answer
    x = 22,082.76

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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.