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Finding the Third Proportional to 16,711 and 26,440

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Solution

The third proportional to 16,711 and 26,440 is: 41,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711 : 26,440 = 26,440 : x
  2. Step 2: Convert to fraction form
    16,711/26,440 = 26,440/x
  3. Step 3: Cross multiply
    16,711x = 26,440 × 26,440
  4. Step 4: Simplify right side
    16,711x = 699,073,600
  5. Step 5: Solve for x
    x = 699,073,600/16,711
  6. Step 6: Final answer
    x = 41,833.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.