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Finding the Third Proportional to 52,728 and 62,023

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Solution

The third proportional to 52,728 and 62,023 is: 72,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,728 : 62,023 = 62,023 : x
  2. Step 2: Convert to fraction form
    52,728/62,023 = 62,023/x
  3. Step 3: Cross multiply
    52,728x = 62,023 × 62,023
  4. Step 4: Simplify right side
    52,728x = 3,846,852,529
  5. Step 5: Solve for x
    x = 3,846,852,529/52,728
  6. Step 6: Final answer
    x = 72,956.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.