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Finding the Third Proportional to 32,517 and 51,522.75

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Solution

The third proportional to 32,517 and 51,522.75 is: 81,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517 : 51,522.75 = 51,522.75 : x
  2. Step 2: Convert to fraction form
    32,517/51,522.75 = 51,522.75/x
  3. Step 3: Cross multiply
    32,517x = 51,522.75 × 51,522.75
  4. Step 4: Simplify right side
    32,517x = 2,654,593,767.56
  5. Step 5: Solve for x
    x = 2,654,593,767.56/32,517
  6. Step 6: Final answer
    x = 81,637.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.