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Finding the Third Proportional to 38,394.84 and 57,296.11

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Solution

The third proportional to 38,394.84 and 57,296.11 is: 85,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394.84 : 57,296.11 = 57,296.11 : x
  2. Step 2: Convert to fraction form
    38,394.84/57,296.11 = 57,296.11/x
  3. Step 3: Cross multiply
    38,394.84x = 57,296.11 × 57,296.11
  4. Step 4: Simplify right side
    38,394.84x = 3,282,844,149.51
  5. Step 5: Solve for x
    x = 3,282,844,149.51/38,394.84
  6. Step 6: Final answer
    x = 85,502.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.