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Finding the Third Proportional to 9,909 and 20,646

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Solution

The third proportional to 9,909 and 20,646 is: 43,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909 : 20,646 = 20,646 : x
  2. Step 2: Convert to fraction form
    9,909/20,646 = 20,646/x
  3. Step 3: Cross multiply
    9,909x = 20,646 × 20,646
  4. Step 4: Simplify right side
    9,909x = 426,257,316
  5. Step 5: Solve for x
    x = 426,257,316/9,909
  6. Step 6: Final answer
    x = 43,017.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.