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Finding the Third Proportional to 24,108 and 32,466

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Solution

The third proportional to 24,108 and 32,466 is: 43,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108 : 32,466 = 32,466 : x
  2. Step 2: Convert to fraction form
    24,108/32,466 = 32,466/x
  3. Step 3: Cross multiply
    24,108x = 32,466 × 32,466
  4. Step 4: Simplify right side
    24,108x = 1,054,041,156
  5. Step 5: Solve for x
    x = 1,054,041,156/24,108
  6. Step 6: Final answer
    x = 43,721.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.