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Finding the Third Proportional to 48,008 and 71,512

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Solution

The third proportional to 48,008 and 71,512 is: 106,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,008 : 71,512 = 71,512 : x
  2. Step 2: Convert to fraction form
    48,008/71,512 = 71,512/x
  3. Step 3: Cross multiply
    48,008x = 71,512 × 71,512
  4. Step 4: Simplify right side
    48,008x = 5,113,966,144
  5. Step 5: Solve for x
    x = 5,113,966,144/48,008
  6. Step 6: Final answer
    x = 106,523.21

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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.