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Finding the Third Proportional to 39,584 and 86,679

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Solution

The third proportional to 39,584 and 86,679 is: 189,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 86,679 = 86,679 : x
  2. Step 2: Convert to fraction form
    39,584/86,679 = 86,679/x
  3. Step 3: Cross multiply
    39,584x = 86,679 × 86,679
  4. Step 4: Simplify right side
    39,584x = 7,513,249,041
  5. Step 5: Solve for x
    x = 7,513,249,041/39,584
  6. Step 6: Final answer
    x = 189,805.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.