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Finding the Third Proportional to 11,095.31 and 24,104.25

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Solution

The third proportional to 11,095.31 and 24,104.25 is: 52,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.31 : 24,104.25 = 24,104.25 : x
  2. Step 2: Convert to fraction form
    11,095.31/24,104.25 = 24,104.25/x
  3. Step 3: Cross multiply
    11,095.31x = 24,104.25 × 24,104.25
  4. Step 4: Simplify right side
    11,095.31x = 581,014,868.06
  5. Step 5: Solve for x
    x = 581,014,868.06/11,095.31
  6. Step 6: Final answer
    x = 52,365.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.