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Finding the Third Proportional to 32,265 and 69,633

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Solution

The third proportional to 32,265 and 69,633 is: 150,279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265 : 69,633 = 69,633 : x
  2. Step 2: Convert to fraction form
    32,265/69,633 = 69,633/x
  3. Step 3: Cross multiply
    32,265x = 69,633 × 69,633
  4. Step 4: Simplify right side
    32,265x = 4,848,754,689
  5. Step 5: Solve for x
    x = 4,848,754,689/32,265
  6. Step 6: Final answer
    x = 150,279.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.