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Finding the Third Proportional to 1,470.46 and 2,162.44

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Solution

The third proportional to 1,470.46 and 2,162.44 is: 3,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.46 : 2,162.44 = 2,162.44 : x
  2. Step 2: Convert to fraction form
    1,470.46/2,162.44 = 2,162.44/x
  3. Step 3: Cross multiply
    1,470.46x = 2,162.44 × 2,162.44
  4. Step 4: Simplify right side
    1,470.46x = 4,676,142.28
  5. Step 5: Solve for x
    x = 4,676,142.28/1,470.46
  6. Step 6: Final answer
    x = 3,180.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.