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Finding the Third Proportional to 39,461 and 55,504

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Solution

The third proportional to 39,461 and 55,504 is: 78,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461 : 55,504 = 55,504 : x
  2. Step 2: Convert to fraction form
    39,461/55,504 = 55,504/x
  3. Step 3: Cross multiply
    39,461x = 55,504 × 55,504
  4. Step 4: Simplify right side
    39,461x = 3,080,694,016
  5. Step 5: Solve for x
    x = 3,080,694,016/39,461
  6. Step 6: Final answer
    x = 78,069.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.