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Finding the Third Proportional to 26,597 and 34,509

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Solution

The third proportional to 26,597 and 34,509 is: 44,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597 : 34,509 = 34,509 : x
  2. Step 2: Convert to fraction form
    26,597/34,509 = 34,509/x
  3. Step 3: Cross multiply
    26,597x = 34,509 × 34,509
  4. Step 4: Simplify right side
    26,597x = 1,190,871,081
  5. Step 5: Solve for x
    x = 1,190,871,081/26,597
  6. Step 6: Final answer
    x = 44,774.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.