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Finding the Third Proportional to 39,862 and 84,583

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Solution

The third proportional to 39,862 and 84,583 is: 179,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,862 : 84,583 = 84,583 : x
  2. Step 2: Convert to fraction form
    39,862/84,583 = 84,583/x
  3. Step 3: Cross multiply
    39,862x = 84,583 × 84,583
  4. Step 4: Simplify right side
    39,862x = 7,154,283,889
  5. Step 5: Solve for x
    x = 7,154,283,889/39,862
  6. Step 6: Final answer
    x = 179,476.29

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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.