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Finding the Third Proportional to 48,864 and 73,416

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Solution

The third proportional to 48,864 and 73,416 is: 110,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864 : 73,416 = 73,416 : x
  2. Step 2: Convert to fraction form
    48,864/73,416 = 73,416/x
  3. Step 3: Cross multiply
    48,864x = 73,416 × 73,416
  4. Step 4: Simplify right side
    48,864x = 5,389,909,056
  5. Step 5: Solve for x
    x = 5,389,909,056/48,864
  6. Step 6: Final answer
    x = 110,304.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.