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Finding the Third Proportional to 2,591 and 5,597

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Solution

The third proportional to 2,591 and 5,597 is: 12,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591 : 5,597 = 5,597 : x
  2. Step 2: Convert to fraction form
    2,591/5,597 = 5,597/x
  3. Step 3: Cross multiply
    2,591x = 5,597 × 5,597
  4. Step 4: Simplify right side
    2,591x = 31,326,409
  5. Step 5: Solve for x
    x = 31,326,409/2,591
  6. Step 6: Final answer
    x = 12,090.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.