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Finding the Third Proportional to 24,178.50 and 38,466

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Solution

The third proportional to 24,178.50 and 38,466 is: 61,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.50 : 38,466 = 38,466 : x
  2. Step 2: Convert to fraction form
    24,178.50/38,466 = 38,466/x
  3. Step 3: Cross multiply
    24,178.50x = 38,466 × 38,466
  4. Step 4: Simplify right side
    24,178.50x = 1,479,633,156
  5. Step 5: Solve for x
    x = 1,479,633,156/24,178.50
  6. Step 6: Final answer
    x = 61,196.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.