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Finding the Third Proportional to 24,266 and 37,466

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Solution

The third proportional to 24,266 and 37,466 is: 57,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266 : 37,466 = 37,466 : x
  2. Step 2: Convert to fraction form
    24,266/37,466 = 37,466/x
  3. Step 3: Cross multiply
    24,266x = 37,466 × 37,466
  4. Step 4: Simplify right side
    24,266x = 1,403,701,156
  5. Step 5: Solve for x
    x = 1,403,701,156/24,266
  6. Step 6: Final answer
    x = 57,846.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.