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Finding the Third Proportional to 32,908 and 53,466

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Solution

The third proportional to 32,908 and 53,466 is: 86,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,908 : 53,466 = 53,466 : x
  2. Step 2: Convert to fraction form
    32,908/53,466 = 53,466/x
  3. Step 3: Cross multiply
    32,908x = 53,466 × 53,466
  4. Step 4: Simplify right side
    32,908x = 2,858,613,156
  5. Step 5: Solve for x
    x = 2,858,613,156/32,908
  6. Step 6: Final answer
    x = 86,866.82

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.