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Finding the Third Proportional to 39,862 and 84,584

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Solution

The third proportional to 39,862 and 84,584 is: 179,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,862 : 84,584 = 84,584 : x
  2. Step 2: Convert to fraction form
    39,862/84,584 = 84,584/x
  3. Step 3: Cross multiply
    39,862x = 84,584 × 84,584
  4. Step 4: Simplify right side
    39,862x = 7,154,453,056
  5. Step 5: Solve for x
    x = 7,154,453,056/39,862
  6. Step 6: Final answer
    x = 179,480.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.