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Finding the Third Proportional to 24,217 and 36,323

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Solution

The third proportional to 24,217 and 36,323 is: 54,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217 : 36,323 = 36,323 : x
  2. Step 2: Convert to fraction form
    24,217/36,323 = 36,323/x
  3. Step 3: Cross multiply
    24,217x = 36,323 × 36,323
  4. Step 4: Simplify right side
    24,217x = 1,319,360,329
  5. Step 5: Solve for x
    x = 1,319,360,329/24,217
  6. Step 6: Final answer
    x = 54,480.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.