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Finding the Third Proportional to 39,726 and 93,793

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Solution

The third proportional to 39,726 and 93,793 is: 221,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,726 : 93,793 = 93,793 : x
  2. Step 2: Convert to fraction form
    39,726/93,793 = 93,793/x
  3. Step 3: Cross multiply
    39,726x = 93,793 × 93,793
  4. Step 4: Simplify right side
    39,726x = 8,797,126,849
  5. Step 5: Solve for x
    x = 8,797,126,849/39,726
  6. Step 6: Final answer
    x = 221,445.07

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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.