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Finding the Third Proportional to 9,049 and 19,646

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Solution

The third proportional to 9,049 and 19,646 is: 42,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049 : 19,646 = 19,646 : x
  2. Step 2: Convert to fraction form
    9,049/19,646 = 19,646/x
  3. Step 3: Cross multiply
    9,049x = 19,646 × 19,646
  4. Step 4: Simplify right side
    9,049x = 385,965,316
  5. Step 5: Solve for x
    x = 385,965,316/9,049
  6. Step 6: Final answer
    x = 42,652.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.