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Finding the Third Proportional to 9,831.16 and 14,747.91

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Solution

The third proportional to 9,831.16 and 14,747.91 is: 22,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.16 : 14,747.91 = 14,747.91 : x
  2. Step 2: Convert to fraction form
    9,831.16/14,747.91 = 14,747.91/x
  3. Step 3: Cross multiply
    9,831.16x = 14,747.91 × 14,747.91
  4. Step 4: Simplify right side
    9,831.16x = 217,500,738.76
  5. Step 5: Solve for x
    x = 217,500,738.76/9,831.16
  6. Step 6: Final answer
    x = 22,123.60

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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.