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Finding the Third Proportional to 1,732 and 2,510

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Solution

The third proportional to 1,732 and 2,510 is: 3,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732 : 2,510 = 2,510 : x
  2. Step 2: Convert to fraction form
    1,732/2,510 = 2,510/x
  3. Step 3: Cross multiply
    1,732x = 2,510 × 2,510
  4. Step 4: Simplify right side
    1,732x = 6,300,100
  5. Step 5: Solve for x
    x = 6,300,100/1,732
  6. Step 6: Final answer
    x = 3,637.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.