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Finding the Third Proportional to 16,536 and 24,074

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Solution

The third proportional to 16,536 and 24,074 is: 35,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536 : 24,074 = 24,074 : x
  2. Step 2: Convert to fraction form
    16,536/24,074 = 24,074/x
  3. Step 3: Cross multiply
    16,536x = 24,074 × 24,074
  4. Step 4: Simplify right side
    16,536x = 579,557,476
  5. Step 5: Solve for x
    x = 579,557,476/16,536
  6. Step 6: Final answer
    x = 35,048.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.