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Finding the Third Proportional to 26,597 and 54,409

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Solution

The third proportional to 26,597 and 54,409 is: 111,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597 : 54,409 = 54,409 : x
  2. Step 2: Convert to fraction form
    26,597/54,409 = 54,409/x
  3. Step 3: Cross multiply
    26,597x = 54,409 × 54,409
  4. Step 4: Simplify right side
    26,597x = 2,960,339,281
  5. Step 5: Solve for x
    x = 2,960,339,281/26,597
  6. Step 6: Final answer
    x = 111,303.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.