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Finding the Third Proportional to 4,206 and 9,258

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Solution

The third proportional to 4,206 and 9,258 is: 20,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 9,258 = 9,258 : x
  2. Step 2: Convert to fraction form
    4,206/9,258 = 9,258/x
  3. Step 3: Cross multiply
    4,206x = 9,258 × 9,258
  4. Step 4: Simplify right side
    4,206x = 85,710,564
  5. Step 5: Solve for x
    x = 85,710,564/4,206
  6. Step 6: Final answer
    x = 20,378.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.