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Finding the Third Proportional to 38,448 and 51,120

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Solution

The third proportional to 38,448 and 51,120 is: 67,968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448 : 51,120 = 51,120 : x
  2. Step 2: Convert to fraction form
    38,448/51,120 = 51,120/x
  3. Step 3: Cross multiply
    38,448x = 51,120 × 51,120
  4. Step 4: Simplify right side
    38,448x = 2,613,254,400
  5. Step 5: Solve for x
    x = 2,613,254,400/38,448
  6. Step 6: Final answer
    x = 67,968.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.