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Finding the Third Proportional to 2,597 and 5,653

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Solution

The third proportional to 2,597 and 5,653 is: 12,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597 : 5,653 = 5,653 : x
  2. Step 2: Convert to fraction form
    2,597/5,653 = 5,653/x
  3. Step 3: Cross multiply
    2,597x = 5,653 × 5,653
  4. Step 4: Simplify right side
    2,597x = 31,956,409
  5. Step 5: Solve for x
    x = 31,956,409/2,597
  6. Step 6: Final answer
    x = 12,305.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.