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Finding the Third Proportional to 14,103 and 26,478

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Solution

The third proportional to 14,103 and 26,478 is: 49,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103 : 26,478 = 26,478 : x
  2. Step 2: Convert to fraction form
    14,103/26,478 = 26,478/x
  3. Step 3: Cross multiply
    14,103x = 26,478 × 26,478
  4. Step 4: Simplify right side
    14,103x = 701,084,484
  5. Step 5: Solve for x
    x = 701,084,484/14,103
  6. Step 6: Final answer
    x = 49,711.73

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.