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Finding the Third Proportional to 24,294 and 36,516

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Solution

The third proportional to 24,294 and 36,516 is: 54,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 36,516 = 36,516 : x
  2. Step 2: Convert to fraction form
    24,294/36,516 = 36,516/x
  3. Step 3: Cross multiply
    24,294x = 36,516 × 36,516
  4. Step 4: Simplify right side
    24,294x = 1,333,418,256
  5. Step 5: Solve for x
    x = 1,333,418,256/24,294
  6. Step 6: Final answer
    x = 54,886.73

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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.