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Finding the Third Proportional to 2,566 and 3,382

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Solution

The third proportional to 2,566 and 3,382 is: 4,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566 : 3,382 = 3,382 : x
  2. Step 2: Convert to fraction form
    2,566/3,382 = 3,382/x
  3. Step 3: Cross multiply
    2,566x = 3,382 × 3,382
  4. Step 4: Simplify right side
    2,566x = 11,437,924
  5. Step 5: Solve for x
    x = 11,437,924/2,566
  6. Step 6: Final answer
    x = 4,457.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.