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Finding the Third Proportional to 8,983.88 and 20,983.13

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Solution

The third proportional to 8,983.88 and 20,983.13 is: 49,009.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.88 : 20,983.13 = 20,983.13 : x
  2. Step 2: Convert to fraction form
    8,983.88/20,983.13 = 20,983.13/x
  3. Step 3: Cross multiply
    8,983.88x = 20,983.13 × 20,983.13
  4. Step 4: Simplify right side
    8,983.88x = 440,291,534.77
  5. Step 5: Solve for x
    x = 440,291,534.77/8,983.88
  6. Step 6: Final answer
    x = 49,009.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.