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Finding the Third Proportional to 9,207.84 and 20,102.34

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Solution

The third proportional to 9,207.84 and 20,102.34 is: 43,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.84 : 20,102.34 = 20,102.34 : x
  2. Step 2: Convert to fraction form
    9,207.84/20,102.34 = 20,102.34/x
  3. Step 3: Cross multiply
    9,207.84x = 20,102.34 × 20,102.34
  4. Step 4: Simplify right side
    9,207.84x = 404,104,224.24
  5. Step 5: Solve for x
    x = 404,104,224.24/9,207.84
  6. Step 6: Final answer
    x = 43,886.95

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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.