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Finding the Third Proportional to 4,275.56 and 6,567.47

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Solution

The third proportional to 4,275.56 and 6,567.47 is: 10,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.56 : 6,567.47 = 6,567.47 : x
  2. Step 2: Convert to fraction form
    4,275.56/6,567.47 = 6,567.47/x
  3. Step 3: Cross multiply
    4,275.56x = 6,567.47 × 6,567.47
  4. Step 4: Simplify right side
    4,275.56x = 43,131,645.78
  5. Step 5: Solve for x
    x = 43,131,645.78/4,275.56
  6. Step 6: Final answer
    x = 10,087.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.