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Finding the Third Proportional to 32,769 and 47,836

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Solution

The third proportional to 32,769 and 47,836 is: 69,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769 : 47,836 = 47,836 : x
  2. Step 2: Convert to fraction form
    32,769/47,836 = 47,836/x
  3. Step 3: Cross multiply
    32,769x = 47,836 × 47,836
  4. Step 4: Simplify right side
    32,769x = 2,288,282,896
  5. Step 5: Solve for x
    x = 2,288,282,896/32,769
  6. Step 6: Final answer
    x = 69,830.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.