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Finding the Third Proportional to 2,180.04 and 4,765.71

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Solution

The third proportional to 2,180.04 and 4,765.71 is: 10,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.04 : 4,765.71 = 4,765.71 : x
  2. Step 2: Convert to fraction form
    2,180.04/4,765.71 = 4,765.71/x
  3. Step 3: Cross multiply
    2,180.04x = 4,765.71 × 4,765.71
  4. Step 4: Simplify right side
    2,180.04x = 22,712,000.74
  5. Step 5: Solve for x
    x = 22,712,000.74/2,180.04
  6. Step 6: Final answer
    x = 10,418.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.