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Finding the Third Proportional to 8,083.13 and 8,893.13

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Solution

The third proportional to 8,083.13 and 8,893.13 is: 9,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.13 : 8,893.13 = 8,893.13 : x
  2. Step 2: Convert to fraction form
    8,083.13/8,893.13 = 8,893.13/x
  3. Step 3: Cross multiply
    8,083.13x = 8,893.13 × 8,893.13
  4. Step 4: Simplify right side
    8,083.13x = 79,087,672.27
  5. Step 5: Solve for x
    x = 79,087,672.27/8,083.13
  6. Step 6: Final answer
    x = 9,784.29

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.