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Finding the Third Proportional to 32,523 and 69,969

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Solution

The third proportional to 32,523 and 69,969 is: 150,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523 : 69,969 = 69,969 : x
  2. Step 2: Convert to fraction form
    32,523/69,969 = 69,969/x
  3. Step 3: Cross multiply
    32,523x = 69,969 × 69,969
  4. Step 4: Simplify right side
    32,523x = 4,895,660,961
  5. Step 5: Solve for x
    x = 4,895,660,961/32,523
  6. Step 6: Final answer
    x = 150,529.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.