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Finding the Third Proportional to 32,976 and 51,486

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Solution

The third proportional to 32,976 and 51,486 is: 80,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 51,486 = 51,486 : x
  2. Step 2: Convert to fraction form
    32,976/51,486 = 51,486/x
  3. Step 3: Cross multiply
    32,976x = 51,486 × 51,486
  4. Step 4: Simplify right side
    32,976x = 2,650,808,196
  5. Step 5: Solve for x
    x = 2,650,808,196/32,976
  6. Step 6: Final answer
    x = 80,385.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.