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Finding the Third Proportional to 5,577.13 and 8,968.69

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Solution

The third proportional to 5,577.13 and 8,968.69 is: 14,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.13 : 8,968.69 = 8,968.69 : x
  2. Step 2: Convert to fraction form
    5,577.13/8,968.69 = 8,968.69/x
  3. Step 3: Cross multiply
    5,577.13x = 8,968.69 × 8,968.69
  4. Step 4: Simplify right side
    5,577.13x = 80,437,355.47
  5. Step 5: Solve for x
    x = 80,437,355.47/5,577.13
  6. Step 6: Final answer
    x = 14,422.73

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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.