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Finding the Third Proportional to 32,976 and 51,120

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Solution

The third proportional to 32,976 and 51,120 is: 79,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 51,120 = 51,120 : x
  2. Step 2: Convert to fraction form
    32,976/51,120 = 51,120/x
  3. Step 3: Cross multiply
    32,976x = 51,120 × 51,120
  4. Step 4: Simplify right side
    32,976x = 2,613,254,400
  5. Step 5: Solve for x
    x = 2,613,254,400/32,976
  6. Step 6: Final answer
    x = 79,247.16

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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.