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Finding the Third Proportional to 39,512.50 and 93,273

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Solution

The third proportional to 39,512.50 and 93,273 is: 220,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512.50 : 93,273 = 93,273 : x
  2. Step 2: Convert to fraction form
    39,512.50/93,273 = 93,273/x
  3. Step 3: Cross multiply
    39,512.50x = 93,273 × 93,273
  4. Step 4: Simplify right side
    39,512.50x = 8,699,852,529
  5. Step 5: Solve for x
    x = 8,699,852,529/39,512.50
  6. Step 6: Final answer
    x = 220,179.75

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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.