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Finding the Third Proportional to 9,209 and 20,047

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Solution

The third proportional to 9,209 and 20,047 is: 43,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209 : 20,047 = 20,047 : x
  2. Step 2: Convert to fraction form
    9,209/20,047 = 20,047/x
  3. Step 3: Cross multiply
    9,209x = 20,047 × 20,047
  4. Step 4: Simplify right side
    9,209x = 401,882,209
  5. Step 5: Solve for x
    x = 401,882,209/9,209
  6. Step 6: Final answer
    x = 43,640.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.