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Finding the Third Proportional to 39,584 and 94,599

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Solution

The third proportional to 39,584 and 94,599 is: 226,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 94,599 = 94,599 : x
  2. Step 2: Convert to fraction form
    39,584/94,599 = 94,599/x
  3. Step 3: Cross multiply
    39,584x = 94,599 × 94,599
  4. Step 4: Simplify right side
    39,584x = 8,948,970,801
  5. Step 5: Solve for x
    x = 8,948,970,801/39,584
  6. Step 6: Final answer
    x = 226,075.45

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.