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Finding the Third Proportional to 9,326.25 and 21,477.94

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Solution

The third proportional to 9,326.25 and 21,477.94 is: 49,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.25 : 21,477.94 = 21,477.94 : x
  2. Step 2: Convert to fraction form
    9,326.25/21,477.94 = 21,477.94/x
  3. Step 3: Cross multiply
    9,326.25x = 21,477.94 × 21,477.94
  4. Step 4: Simplify right side
    9,326.25x = 461,301,799.25
  5. Step 5: Solve for x
    x = 461,301,799.25/9,326.25
  6. Step 6: Final answer
    x = 49,462.73

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.