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Finding the Third Proportional to 48,676 and 70,342

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Solution

The third proportional to 48,676 and 70,342 is: 101,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676 : 70,342 = 70,342 : x
  2. Step 2: Convert to fraction form
    48,676/70,342 = 70,342/x
  3. Step 3: Cross multiply
    48,676x = 70,342 × 70,342
  4. Step 4: Simplify right side
    48,676x = 4,947,996,964
  5. Step 5: Solve for x
    x = 4,947,996,964/48,676
  6. Step 6: Final answer
    x = 101,651.68

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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.