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Finding the Third Proportional to 39,966 and 61,503

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Solution

The third proportional to 39,966 and 61,503 is: 94,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,966 : 61,503 = 61,503 : x
  2. Step 2: Convert to fraction form
    39,966/61,503 = 61,503/x
  3. Step 3: Cross multiply
    39,966x = 61,503 × 61,503
  4. Step 4: Simplify right side
    39,966x = 3,782,619,009
  5. Step 5: Solve for x
    x = 3,782,619,009/39,966
  6. Step 6: Final answer
    x = 94,645.92

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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.