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Finding the Third Proportional to 48,360 and 73,584

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Solution

The third proportional to 48,360 and 73,584 is: 111,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,360 : 73,584 = 73,584 : x
  2. Step 2: Convert to fraction form
    48,360/73,584 = 73,584/x
  3. Step 3: Cross multiply
    48,360x = 73,584 × 73,584
  4. Step 4: Simplify right side
    48,360x = 5,414,605,056
  5. Step 5: Solve for x
    x = 5,414,605,056/48,360
  6. Step 6: Final answer
    x = 111,964.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.