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Finding the Third Proportional to 23,416 and 44,672

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Solution

The third proportional to 23,416 and 44,672 is: 85,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416 : 44,672 = 44,672 : x
  2. Step 2: Convert to fraction form
    23,416/44,672 = 44,672/x
  3. Step 3: Cross multiply
    23,416x = 44,672 × 44,672
  4. Step 4: Simplify right side
    23,416x = 1,995,587,584
  5. Step 5: Solve for x
    x = 1,995,587,584/23,416
  6. Step 6: Final answer
    x = 85,223.25

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.