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Finding the Third Proportional to 39,679 and 61,411

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Solution

The third proportional to 39,679 and 61,411 is: 95,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,679 : 61,411 = 61,411 : x
  2. Step 2: Convert to fraction form
    39,679/61,411 = 61,411/x
  3. Step 3: Cross multiply
    39,679x = 61,411 × 61,411
  4. Step 4: Simplify right side
    39,679x = 3,771,310,921
  5. Step 5: Solve for x
    x = 3,771,310,921/39,679
  6. Step 6: Final answer
    x = 95,045.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.