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Finding the Third Proportional to 39,846 and 93,927

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Solution

The third proportional to 39,846 and 93,927 is: 221,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846 : 93,927 = 93,927 : x
  2. Step 2: Convert to fraction form
    39,846/93,927 = 93,927/x
  3. Step 3: Cross multiply
    39,846x = 93,927 × 93,927
  4. Step 4: Simplify right side
    39,846x = 8,822,281,329
  5. Step 5: Solve for x
    x = 8,822,281,329/39,846
  6. Step 6: Final answer
    x = 221,409.46

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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.