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Finding the Third Proportional to 13,125.80 and 21,900.38

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Solution

The third proportional to 13,125.80 and 21,900.38 is: 36,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.80 : 21,900.38 = 21,900.38 : x
  2. Step 2: Convert to fraction form
    13,125.80/21,900.38 = 21,900.38/x
  3. Step 3: Cross multiply
    13,125.80x = 21,900.38 × 21,900.38
  4. Step 4: Simplify right side
    13,125.80x = 479,626,425.14
  5. Step 5: Solve for x
    x = 479,626,425.14/13,125.80
  6. Step 6: Final answer
    x = 36,540.75

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.