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Finding the Third Proportional to 1,712.06 and 2,614.13

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Solution

The third proportional to 1,712.06 and 2,614.13 is: 3,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.06 : 2,614.13 = 2,614.13 : x
  2. Step 2: Convert to fraction form
    1,712.06/2,614.13 = 2,614.13/x
  3. Step 3: Cross multiply
    1,712.06x = 2,614.13 × 2,614.13
  4. Step 4: Simplify right side
    1,712.06x = 6,833,649.52
  5. Step 5: Solve for x
    x = 6,833,649.52/1,712.06
  6. Step 6: Final answer
    x = 3,991.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.