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Finding the Third Proportional to 6,567.13 and 14,250.56

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Solution

The third proportional to 6,567.13 and 14,250.56 is: 30,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.13 : 14,250.56 = 14,250.56 : x
  2. Step 2: Convert to fraction form
    6,567.13/14,250.56 = 14,250.56/x
  3. Step 3: Cross multiply
    6,567.13x = 14,250.56 × 14,250.56
  4. Step 4: Simplify right side
    6,567.13x = 203,078,531.57
  5. Step 5: Solve for x
    x = 203,078,531.57/6,567.13
  6. Step 6: Final answer
    x = 30,923.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.