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Finding the Third Proportional to 40,886 and 61,532

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Solution

The third proportional to 40,886 and 61,532 is: 92,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,886 : 61,532 = 61,532 : x
  2. Step 2: Convert to fraction form
    40,886/61,532 = 61,532/x
  3. Step 3: Cross multiply
    40,886x = 61,532 × 61,532
  4. Step 4: Simplify right side
    40,886x = 3,786,187,024
  5. Step 5: Solve for x
    x = 3,786,187,024/40,886
  6. Step 6: Final answer
    x = 92,603.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.