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Finding the Third Proportional to 48,696 and 75,648

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Solution

The third proportional to 48,696 and 75,648 is: 117,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 75,648 = 75,648 : x
  2. Step 2: Convert to fraction form
    48,696/75,648 = 75,648/x
  3. Step 3: Cross multiply
    48,696x = 75,648 × 75,648
  4. Step 4: Simplify right side
    48,696x = 5,722,619,904
  5. Step 5: Solve for x
    x = 5,722,619,904/48,696
  6. Step 6: Final answer
    x = 117,517.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.