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Finding the Third Proportional to 40,562 and 54,258

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Solution

The third proportional to 40,562 and 54,258 is: 72,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,562 : 54,258 = 54,258 : x
  2. Step 2: Convert to fraction form
    40,562/54,258 = 54,258/x
  3. Step 3: Cross multiply
    40,562x = 54,258 × 54,258
  4. Step 4: Simplify right side
    40,562x = 2,943,930,564
  5. Step 5: Solve for x
    x = 2,943,930,564/40,562
  6. Step 6: Final answer
    x = 72,578.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.