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Finding the Third Proportional to 48,928 and 68,080

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Solution

The third proportional to 48,928 and 68,080 is: 94,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,928 : 68,080 = 68,080 : x
  2. Step 2: Convert to fraction form
    48,928/68,080 = 68,080/x
  3. Step 3: Cross multiply
    48,928x = 68,080 × 68,080
  4. Step 4: Simplify right side
    48,928x = 4,634,886,400
  5. Step 5: Solve for x
    x = 4,634,886,400/48,928
  6. Step 6: Final answer
    x = 94,728.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.