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Finding the Third Proportional to 39,477.38 and 53,596.69

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Solution

The third proportional to 39,477.38 and 53,596.69 is: 72,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477.38 : 53,596.69 = 53,596.69 : x
  2. Step 2: Convert to fraction form
    39,477.38/53,596.69 = 53,596.69/x
  3. Step 3: Cross multiply
    39,477.38x = 53,596.69 × 53,596.69
  4. Step 4: Simplify right side
    39,477.38x = 2,872,604,910.97
  5. Step 5: Solve for x
    x = 2,872,604,910.97/39,477.38
  6. Step 6: Final answer
    x = 72,765.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.