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Finding the Third Proportional to 10,206 and 18,072

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Solution

The third proportional to 10,206 and 18,072 is: 32,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 18,072 = 18,072 : x
  2. Step 2: Convert to fraction form
    10,206/18,072 = 18,072/x
  3. Step 3: Cross multiply
    10,206x = 18,072 × 18,072
  4. Step 4: Simplify right side
    10,206x = 326,597,184
  5. Step 5: Solve for x
    x = 326,597,184/10,206
  6. Step 6: Final answer
    x = 32,000.51

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.