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Finding the Third Proportional to 24,224 and 34,352

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Solution

The third proportional to 24,224 and 34,352 is: 48,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 34,352 = 34,352 : x
  2. Step 2: Convert to fraction form
    24,224/34,352 = 34,352/x
  3. Step 3: Cross multiply
    24,224x = 34,352 × 34,352
  4. Step 4: Simplify right side
    24,224x = 1,180,059,904
  5. Step 5: Solve for x
    x = 1,180,059,904/24,224
  6. Step 6: Final answer
    x = 48,714.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.