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Finding the Third Proportional to 35,533 and 54,757

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Solution

The third proportional to 35,533 and 54,757 is: 84,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533 : 54,757 = 54,757 : x
  2. Step 2: Convert to fraction form
    35,533/54,757 = 54,757/x
  3. Step 3: Cross multiply
    35,533x = 54,757 × 54,757
  4. Step 4: Simplify right side
    35,533x = 2,998,329,049
  5. Step 5: Solve for x
    x = 2,998,329,049/35,533
  6. Step 6: Final answer
    x = 84,381.53

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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.