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Finding the Third Proportional to 32,830 and 69,763

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Solution

The third proportional to 32,830 and 69,763 is: 148,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830 : 69,763 = 69,763 : x
  2. Step 2: Convert to fraction form
    32,830/69,763 = 69,763/x
  3. Step 3: Cross multiply
    32,830x = 69,763 × 69,763
  4. Step 4: Simplify right side
    32,830x = 4,866,876,169
  5. Step 5: Solve for x
    x = 4,866,876,169/32,830
  6. Step 6: Final answer
    x = 148,244.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.