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Finding the Third Proportional to 9,383.34 and 20,098.13

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Solution

The third proportional to 9,383.34 and 20,098.13 is: 43,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.34 : 20,098.13 = 20,098.13 : x
  2. Step 2: Convert to fraction form
    9,383.34/20,098.13 = 20,098.13/x
  3. Step 3: Cross multiply
    9,383.34x = 20,098.13 × 20,098.13
  4. Step 4: Simplify right side
    9,383.34x = 403,934,628.52
  5. Step 5: Solve for x
    x = 403,934,628.52/9,383.34
  6. Step 6: Final answer
    x = 43,048.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.