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Finding the Third Proportional to 6,567.75 and 9,031.31

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Solution

The third proportional to 6,567.75 and 9,031.31 is: 12,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.75 : 9,031.31 = 9,031.31 : x
  2. Step 2: Convert to fraction form
    6,567.75/9,031.31 = 9,031.31/x
  3. Step 3: Cross multiply
    6,567.75x = 9,031.31 × 9,031.31
  4. Step 4: Simplify right side
    6,567.75x = 81,564,605.47
  5. Step 5: Solve for x
    x = 81,564,605.47/6,567.75
  6. Step 6: Final answer
    x = 12,418.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.