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Finding the Third Proportional to 24,286 and 36,294

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Solution

The third proportional to 24,286 and 36,294 is: 54,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286 : 36,294 = 36,294 : x
  2. Step 2: Convert to fraction form
    24,286/36,294 = 36,294/x
  3. Step 3: Cross multiply
    24,286x = 36,294 × 36,294
  4. Step 4: Simplify right side
    24,286x = 1,317,254,436
  5. Step 5: Solve for x
    x = 1,317,254,436/24,286
  6. Step 6: Final answer
    x = 54,239.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.