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Finding the Third Proportional to 25,005.38 and 38,692.69

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Solution

The third proportional to 25,005.38 and 38,692.69 is: 59,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.38 : 38,692.69 = 38,692.69 : x
  2. Step 2: Convert to fraction form
    25,005.38/38,692.69 = 38,692.69/x
  3. Step 3: Cross multiply
    25,005.38x = 38,692.69 × 38,692.69
  4. Step 4: Simplify right side
    25,005.38x = 1,497,124,065.97
  5. Step 5: Solve for x
    x = 1,497,124,065.97/25,005.38
  6. Step 6: Final answer
    x = 59,872.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.