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Finding the Third Proportional to 23,533 and 34,549

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Solution

The third proportional to 23,533 and 34,549 is: 50,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533 : 34,549 = 34,549 : x
  2. Step 2: Convert to fraction form
    23,533/34,549 = 34,549/x
  3. Step 3: Cross multiply
    23,533x = 34,549 × 34,549
  4. Step 4: Simplify right side
    23,533x = 1,193,633,401
  5. Step 5: Solve for x
    x = 1,193,633,401/23,533
  6. Step 6: Final answer
    x = 50,721.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.