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Finding the Third Proportional to 39,564 and 93,395.25

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Solution

The third proportional to 39,564 and 93,395.25 is: 220,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 93,395.25 = 93,395.25 : x
  2. Step 2: Convert to fraction form
    39,564/93,395.25 = 93,395.25/x
  3. Step 3: Cross multiply
    39,564x = 93,395.25 × 93,395.25
  4. Step 4: Simplify right side
    39,564x = 8,722,672,722.56
  5. Step 5: Solve for x
    x = 8,722,672,722.56/39,564
  6. Step 6: Final answer
    x = 220,469.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.