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Finding the Third Proportional to 24,546 and 32,922

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Solution

The third proportional to 24,546 and 32,922 is: 44,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546 : 32,922 = 32,922 : x
  2. Step 2: Convert to fraction form
    24,546/32,922 = 32,922/x
  3. Step 3: Cross multiply
    24,546x = 32,922 × 32,922
  4. Step 4: Simplify right side
    24,546x = 1,083,858,084
  5. Step 5: Solve for x
    x = 1,083,858,084/24,546
  6. Step 6: Final answer
    x = 44,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.