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Finding the Third Proportional to 2,366 and 2,591

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Solution

The third proportional to 2,366 and 2,591 is: 2,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366 : 2,591 = 2,591 : x
  2. Step 2: Convert to fraction form
    2,366/2,591 = 2,591/x
  3. Step 3: Cross multiply
    2,366x = 2,591 × 2,591
  4. Step 4: Simplify right side
    2,366x = 6,713,281
  5. Step 5: Solve for x
    x = 6,713,281/2,366
  6. Step 6: Final answer
    x = 2,837.40

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.