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Finding the Third Proportional to 36,238.13 and 55,438.13

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Solution

The third proportional to 36,238.13 and 55,438.13 is: 84,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238.13 : 55,438.13 = 55,438.13 : x
  2. Step 2: Convert to fraction form
    36,238.13/55,438.13 = 55,438.13/x
  3. Step 3: Cross multiply
    36,238.13x = 55,438.13 × 55,438.13
  4. Step 4: Simplify right side
    36,238.13x = 3,073,385,703.52
  5. Step 5: Solve for x
    x = 3,073,385,703.52/36,238.13
  6. Step 6: Final answer
    x = 84,810.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.