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Finding the Third Proportional to 24,256 and 32,928

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Solution

The third proportional to 24,256 and 32,928 is: 44,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256 : 32,928 = 32,928 : x
  2. Step 2: Convert to fraction form
    24,256/32,928 = 32,928/x
  3. Step 3: Cross multiply
    24,256x = 32,928 × 32,928
  4. Step 4: Simplify right side
    24,256x = 1,084,253,184
  5. Step 5: Solve for x
    x = 1,084,253,184/24,256
  6. Step 6: Final answer
    x = 44,700.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.