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Finding the Third Proportional to 39,006.75 and 79,862.06

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Solution

The third proportional to 39,006.75 and 79,862.06 is: 163,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006.75 : 79,862.06 = 79,862.06 : x
  2. Step 2: Convert to fraction form
    39,006.75/79,862.06 = 79,862.06/x
  3. Step 3: Cross multiply
    39,006.75x = 79,862.06 × 79,862.06
  4. Step 4: Simplify right side
    39,006.75x = 6,377,949,026.75
  5. Step 5: Solve for x
    x = 6,377,949,026.75/39,006.75
  6. Step 6: Final answer
    x = 163,508.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.