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Finding the Third Proportional to 9,465.75 and 19,911.38

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Solution

The third proportional to 9,465.75 and 19,911.38 is: 41,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.75 : 19,911.38 = 19,911.38 : x
  2. Step 2: Convert to fraction form
    9,465.75/19,911.38 = 19,911.38/x
  3. Step 3: Cross multiply
    9,465.75x = 19,911.38 × 19,911.38
  4. Step 4: Simplify right side
    9,465.75x = 396,462,854.39
  5. Step 5: Solve for x
    x = 396,462,854.39/9,465.75
  6. Step 6: Final answer
    x = 41,883.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.