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Finding the Third Proportional to 32,937 and 51,077

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Solution

The third proportional to 32,937 and 51,077 is: 79,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,937 : 51,077 = 51,077 : x
  2. Step 2: Convert to fraction form
    32,937/51,077 = 51,077/x
  3. Step 3: Cross multiply
    32,937x = 51,077 × 51,077
  4. Step 4: Simplify right side
    32,937x = 2,608,859,929
  5. Step 5: Solve for x
    x = 2,608,859,929/32,937
  6. Step 6: Final answer
    x = 79,207.58

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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.