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Finding the Third Proportional to 39,538 and 93,334

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Solution

The third proportional to 39,538 and 93,334 is: 220,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538 : 93,334 = 93,334 : x
  2. Step 2: Convert to fraction form
    39,538/93,334 = 93,334/x
  3. Step 3: Cross multiply
    39,538x = 93,334 × 93,334
  4. Step 4: Simplify right side
    39,538x = 8,711,235,556
  5. Step 5: Solve for x
    x = 8,711,235,556/39,538
  6. Step 6: Final answer
    x = 220,325.65

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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.