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Finding the Third Proportional to 8,812.13 and 14,159.81

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Solution

The third proportional to 8,812.13 and 14,159.81 is: 22,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,812.13 : 14,159.81 = 14,159.81 : x
  2. Step 2: Convert to fraction form
    8,812.13/14,159.81 = 14,159.81/x
  3. Step 3: Cross multiply
    8,812.13x = 14,159.81 × 14,159.81
  4. Step 4: Simplify right side
    8,812.13x = 200,500,290.04
  5. Step 5: Solve for x
    x = 200,500,290.04/8,812.13
  6. Step 6: Final answer
    x = 22,752.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.