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Finding the Third Proportional to 8,805.56 and 13,655.81

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Solution

The third proportional to 8,805.56 and 13,655.81 is: 21,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805.56 : 13,655.81 = 13,655.81 : x
  2. Step 2: Convert to fraction form
    8,805.56/13,655.81 = 13,655.81/x
  3. Step 3: Cross multiply
    8,805.56x = 13,655.81 × 13,655.81
  4. Step 4: Simplify right side
    8,805.56x = 186,481,215.04
  5. Step 5: Solve for x
    x = 186,481,215.04/8,805.56
  6. Step 6: Final answer
    x = 21,177.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.