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Finding the Third Proportional to 1,470.66 and 1,997.16

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Solution

The third proportional to 1,470.66 and 1,997.16 is: 2,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.66 : 1,997.16 = 1,997.16 : x
  2. Step 2: Convert to fraction form
    1,470.66/1,997.16 = 1,997.16/x
  3. Step 3: Cross multiply
    1,470.66x = 1,997.16 × 1,997.16
  4. Step 4: Simplify right side
    1,470.66x = 3,988,633.09
  5. Step 5: Solve for x
    x = 3,988,633.09/1,470.66
  6. Step 6: Final answer
    x = 2,712.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.