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Finding the Third Proportional to 40,560 and 61,392

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Solution

The third proportional to 40,560 and 61,392 is: 92,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,560 : 61,392 = 61,392 : x
  2. Step 2: Convert to fraction form
    40,560/61,392 = 61,392/x
  3. Step 3: Cross multiply
    40,560x = 61,392 × 61,392
  4. Step 4: Simplify right side
    40,560x = 3,768,977,664
  5. Step 5: Solve for x
    x = 3,768,977,664/40,560
  6. Step 6: Final answer
    x = 92,923.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.