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Finding the Third Proportional to 16,560 and 26,443

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Solution

The third proportional to 16,560 and 26,443 is: 42,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560 : 26,443 = 26,443 : x
  2. Step 2: Convert to fraction form
    16,560/26,443 = 26,443/x
  3. Step 3: Cross multiply
    16,560x = 26,443 × 26,443
  4. Step 4: Simplify right side
    16,560x = 699,232,249
  5. Step 5: Solve for x
    x = 699,232,249/16,560
  6. Step 6: Final answer
    x = 42,224.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.