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Finding the Third Proportional to 15,418 and 24,826

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Solution

The third proportional to 15,418 and 24,826 is: 39,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,418 : 24,826 = 24,826 : x
  2. Step 2: Convert to fraction form
    15,418/24,826 = 24,826/x
  3. Step 3: Cross multiply
    15,418x = 24,826 × 24,826
  4. Step 4: Simplify right side
    15,418x = 616,330,276
  5. Step 5: Solve for x
    x = 616,330,276/15,418
  6. Step 6: Final answer
    x = 39,974.72

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1.5x scale

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.