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Finding the Third Proportional to 17,746 and 26,466

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Solution

The third proportional to 17,746 and 26,466 is: 39,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746 : 26,466 = 26,466 : x
  2. Step 2: Convert to fraction form
    17,746/26,466 = 26,466/x
  3. Step 3: Cross multiply
    17,746x = 26,466 × 26,466
  4. Step 4: Simplify right side
    17,746x = 700,449,156
  5. Step 5: Solve for x
    x = 700,449,156/17,746
  6. Step 6: Final answer
    x = 39,470.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.