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Finding the Third Proportional to 9,202 and 19,876

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Solution

The third proportional to 9,202 and 19,876 is: 42,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202 : 19,876 = 19,876 : x
  2. Step 2: Convert to fraction form
    9,202/19,876 = 19,876/x
  3. Step 3: Cross multiply
    9,202x = 19,876 × 19,876
  4. Step 4: Simplify right side
    9,202x = 395,055,376
  5. Step 5: Solve for x
    x = 395,055,376/9,202
  6. Step 6: Final answer
    x = 42,931.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.