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Finding the Third Proportional to 48,949 and 70,668

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Solution

The third proportional to 48,949 and 70,668 is: 102,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,949 : 70,668 = 70,668 : x
  2. Step 2: Convert to fraction form
    48,949/70,668 = 70,668/x
  3. Step 3: Cross multiply
    48,949x = 70,668 × 70,668
  4. Step 4: Simplify right side
    48,949x = 4,993,966,224
  5. Step 5: Solve for x
    x = 4,993,966,224/48,949
  6. Step 6: Final answer
    x = 102,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.