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Finding the Third Proportional to 1,470.66 and 2,180.67

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Solution

The third proportional to 1,470.66 and 2,180.67 is: 3,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.66 : 2,180.67 = 2,180.67 : x
  2. Step 2: Convert to fraction form
    1,470.66/2,180.67 = 2,180.67/x
  3. Step 3: Cross multiply
    1,470.66x = 2,180.67 × 2,180.67
  4. Step 4: Simplify right side
    1,470.66x = 4,755,329.83
  5. Step 5: Solve for x
    x = 4,755,329.83/1,470.66
  6. Step 6: Final answer
    x = 3,233.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.