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Finding the Third Proportional to 16,040 and 22,540

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Solution

The third proportional to 16,040 and 22,540 is: 31,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040 : 22,540 = 22,540 : x
  2. Step 2: Convert to fraction form
    16,040/22,540 = 22,540/x
  3. Step 3: Cross multiply
    16,040x = 22,540 × 22,540
  4. Step 4: Simplify right side
    16,040x = 508,051,600
  5. Step 5: Solve for x
    x = 508,051,600/16,040
  6. Step 6: Final answer
    x = 31,674.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.