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Finding the Third Proportional to 28,291 and 62,023

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Solution

The third proportional to 28,291 and 62,023 is: 135,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,291 : 62,023 = 62,023 : x
  2. Step 2: Convert to fraction form
    28,291/62,023 = 62,023/x
  3. Step 3: Cross multiply
    28,291x = 62,023 × 62,023
  4. Step 4: Simplify right side
    28,291x = 3,846,852,529
  5. Step 5: Solve for x
    x = 3,846,852,529/28,291
  6. Step 6: Final answer
    x = 135,974.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.