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Finding the Third Proportional to 8,242.88 and 18,166.88

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Solution

The third proportional to 8,242.88 and 18,166.88 is: 40,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.88 : 18,166.88 = 18,166.88 : x
  2. Step 2: Convert to fraction form
    8,242.88/18,166.88 = 18,166.88/x
  3. Step 3: Cross multiply
    8,242.88x = 18,166.88 × 18,166.88
  4. Step 4: Simplify right side
    8,242.88x = 330,035,347.27
  5. Step 5: Solve for x
    x = 330,035,347.27/8,242.88
  6. Step 6: Final answer
    x = 40,038.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.