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Finding the Third Proportional to 9,013.78 and 19,065.38

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Solution

The third proportional to 9,013.78 and 19,065.38 is: 40,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.78 : 19,065.38 = 19,065.38 : x
  2. Step 2: Convert to fraction form
    9,013.78/19,065.38 = 19,065.38/x
  3. Step 3: Cross multiply
    9,013.78x = 19,065.38 × 19,065.38
  4. Step 4: Simplify right side
    9,013.78x = 363,488,523.89
  5. Step 5: Solve for x
    x = 363,488,523.89/9,013.78
  6. Step 6: Final answer
    x = 40,325.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.