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Finding the Third Proportional to 4,093.03 and 9,032.77

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Solution

The third proportional to 4,093.03 and 9,032.77 is: 19,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.03 : 9,032.77 = 9,032.77 : x
  2. Step 2: Convert to fraction form
    4,093.03/9,032.77 = 9,032.77/x
  3. Step 3: Cross multiply
    4,093.03x = 9,032.77 × 9,032.77
  4. Step 4: Simplify right side
    4,093.03x = 81,590,854.84
  5. Step 5: Solve for x
    x = 81,590,854.84/4,093.03
  6. Step 6: Final answer
    x = 19,934.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.