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Finding the Third Proportional to 3,642.47 and 6,859.69

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Solution

The third proportional to 3,642.47 and 6,859.69 is: 12,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.47 : 6,859.69 = 6,859.69 : x
  2. Step 2: Convert to fraction form
    3,642.47/6,859.69 = 6,859.69/x
  3. Step 3: Cross multiply
    3,642.47x = 6,859.69 × 6,859.69
  4. Step 4: Simplify right side
    3,642.47x = 47,055,312.60
  5. Step 5: Solve for x
    x = 47,055,312.60/3,642.47
  6. Step 6: Final answer
    x = 12,918.52

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.