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Finding the Third Proportional to 10,206 and 15,258

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Solution

The third proportional to 10,206 and 15,258 is: 22,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,258 = 15,258 : x
  2. Step 2: Convert to fraction form
    10,206/15,258 = 15,258/x
  3. Step 3: Cross multiply
    10,206x = 15,258 × 15,258
  4. Step 4: Simplify right side
    10,206x = 232,806,564
  5. Step 5: Solve for x
    x = 232,806,564/10,206
  6. Step 6: Final answer
    x = 22,810.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.