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Finding the Third Proportional to 17,466 and 26,459

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Solution

The third proportional to 17,466 and 26,459 is: 40,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466 : 26,459 = 26,459 : x
  2. Step 2: Convert to fraction form
    17,466/26,459 = 26,459/x
  3. Step 3: Cross multiply
    17,466x = 26,459 × 26,459
  4. Step 4: Simplify right side
    17,466x = 700,078,681
  5. Step 5: Solve for x
    x = 700,078,681/17,466
  6. Step 6: Final answer
    x = 40,082.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.