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Finding the Third Proportional to 48,674 and 70,339

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Solution

The third proportional to 48,674 and 70,339 is: 101,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,674 : 70,339 = 70,339 : x
  2. Step 2: Convert to fraction form
    48,674/70,339 = 70,339/x
  3. Step 3: Cross multiply
    48,674x = 70,339 × 70,339
  4. Step 4: Simplify right side
    48,674x = 4,947,574,921
  5. Step 5: Solve for x
    x = 4,947,574,921/48,674
  6. Step 6: Final answer
    x = 101,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.