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Finding the Third Proportional to 8,831.63 and 13,247.63

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Solution

The third proportional to 8,831.63 and 13,247.63 is: 19,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.63 : 13,247.63 = 13,247.63 : x
  2. Step 2: Convert to fraction form
    8,831.63/13,247.63 = 13,247.63/x
  3. Step 3: Cross multiply
    8,831.63x = 13,247.63 × 13,247.63
  4. Step 4: Simplify right side
    8,831.63x = 175,499,568.14
  5. Step 5: Solve for x
    x = 175,499,568.14/8,831.63
  6. Step 6: Final answer
    x = 19,871.72

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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.