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Finding the Third Proportional to 32,472 and 69,617

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Solution

The third proportional to 32,472 and 69,617 is: 149,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472 : 69,617 = 69,617 : x
  2. Step 2: Convert to fraction form
    32,472/69,617 = 69,617/x
  3. Step 3: Cross multiply
    32,472x = 69,617 × 69,617
  4. Step 4: Simplify right side
    32,472x = 4,846,526,689
  5. Step 5: Solve for x
    x = 4,846,526,689/32,472
  6. Step 6: Final answer
    x = 149,252.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.