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Finding the Third Proportional to 8,802 and 13,204.13

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Solution

The third proportional to 8,802 and 13,204.13 is: 19,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802 : 13,204.13 = 13,204.13 : x
  2. Step 2: Convert to fraction form
    8,802/13,204.13 = 13,204.13/x
  3. Step 3: Cross multiply
    8,802x = 13,204.13 × 13,204.13
  4. Step 4: Simplify right side
    8,802x = 174,348,917.02
  5. Step 5: Solve for x
    x = 174,348,917.02/8,802
  6. Step 6: Final answer
    x = 19,807.88

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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.