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Finding the Third Proportional to 26,446 and 42,521

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Solution

The third proportional to 26,446 and 42,521 is: 68,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,446 : 42,521 = 42,521 : x
  2. Step 2: Convert to fraction form
    26,446/42,521 = 42,521/x
  3. Step 3: Cross multiply
    26,446x = 42,521 × 42,521
  4. Step 4: Simplify right side
    26,446x = 1,808,035,441
  5. Step 5: Solve for x
    x = 1,808,035,441/26,446
  6. Step 6: Final answer
    x = 68,367.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.