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Finding the Third Proportional to 32,153 and 49,781

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Solution

The third proportional to 32,153 and 49,781 is: 77,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153 : 49,781 = 49,781 : x
  2. Step 2: Convert to fraction form
    32,153/49,781 = 49,781/x
  3. Step 3: Cross multiply
    32,153x = 49,781 × 49,781
  4. Step 4: Simplify right side
    32,153x = 2,478,147,961
  5. Step 5: Solve for x
    x = 2,478,147,961/32,153
  6. Step 6: Final answer
    x = 77,073.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.