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Finding the Third Proportional to 32,486 and 50,169

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Solution

The third proportional to 32,486 and 50,169 is: 77,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486 : 50,169 = 50,169 : x
  2. Step 2: Convert to fraction form
    32,486/50,169 = 50,169/x
  3. Step 3: Cross multiply
    32,486x = 50,169 × 50,169
  4. Step 4: Simplify right side
    32,486x = 2,516,928,561
  5. Step 5: Solve for x
    x = 2,516,928,561/32,486
  6. Step 6: Final answer
    x = 77,477.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.