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Finding the Third Proportional to 9,781.91 and 14,674.92

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Solution

The third proportional to 9,781.91 and 14,674.92 is: 22,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.91 : 14,674.92 = 14,674.92 : x
  2. Step 2: Convert to fraction form
    9,781.91/14,674.92 = 14,674.92/x
  3. Step 3: Cross multiply
    9,781.91x = 14,674.92 × 14,674.92
  4. Step 4: Simplify right side
    9,781.91x = 215,353,332.04
  5. Step 5: Solve for x
    x = 215,353,332.04/9,781.91
  6. Step 6: Final answer
    x = 22,015.47

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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.