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Finding the Third Proportional to 1,351.69 and 2,085.47

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Solution

The third proportional to 1,351.69 and 2,085.47 is: 3,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.69 : 2,085.47 = 2,085.47 : x
  2. Step 2: Convert to fraction form
    1,351.69/2,085.47 = 2,085.47/x
  3. Step 3: Cross multiply
    1,351.69x = 2,085.47 × 2,085.47
  4. Step 4: Simplify right side
    1,351.69x = 4,349,179.91
  5. Step 5: Solve for x
    x = 4,349,179.91/1,351.69
  6. Step 6: Final answer
    x = 3,217.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.