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Finding the Third Proportional to 712 and 1,531

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Solution

The third proportional to 712 and 1,531 is: 3,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 1,531 = 1,531 : x
  2. Step 2: Convert to fraction form
    712/1,531 = 1,531/x
  3. Step 3: Cross multiply
    712x = 1,531 × 1,531
  4. Step 4: Simplify right side
    712x = 2,343,961
  5. Step 5: Solve for x
    x = 2,343,961/712
  6. Step 6: Final answer
    x = 3,292.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.