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Finding the Third Proportional to 32,806 and 69,908

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Solution

The third proportional to 32,806 and 69,908 is: 148,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806 : 69,908 = 69,908 : x
  2. Step 2: Convert to fraction form
    32,806/69,908 = 69,908/x
  3. Step 3: Cross multiply
    32,806x = 69,908 × 69,908
  4. Step 4: Simplify right side
    32,806x = 4,887,128,464
  5. Step 5: Solve for x
    x = 4,887,128,464/32,806
  6. Step 6: Final answer
    x = 148,970.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.