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Finding the Third Proportional to 4,185.84 and 6,332.91

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Solution

The third proportional to 4,185.84 and 6,332.91 is: 9,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.84 : 6,332.91 = 6,332.91 : x
  2. Step 2: Convert to fraction form
    4,185.84/6,332.91 = 6,332.91/x
  3. Step 3: Cross multiply
    4,185.84x = 6,332.91 × 6,332.91
  4. Step 4: Simplify right side
    4,185.84x = 40,105,701.57
  5. Step 5: Solve for x
    x = 40,105,701.57/4,185.84
  6. Step 6: Final answer
    x = 9,581.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.