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Finding the Third Proportional to 39,914 and 61,368

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Solution

The third proportional to 39,914 and 61,368 is: 94,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,914 : 61,368 = 61,368 : x
  2. Step 2: Convert to fraction form
    39,914/61,368 = 61,368/x
  3. Step 3: Cross multiply
    39,914x = 61,368 × 61,368
  4. Step 4: Simplify right side
    39,914x = 3,766,031,424
  5. Step 5: Solve for x
    x = 3,766,031,424/39,914
  6. Step 6: Final answer
    x = 94,353.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.