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Finding the Third Proportional to 11,265.75 and 16,805.81

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Solution

The third proportional to 11,265.75 and 16,805.81 is: 25,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.75 : 16,805.81 = 16,805.81 : x
  2. Step 2: Convert to fraction form
    11,265.75/16,805.81 = 16,805.81/x
  3. Step 3: Cross multiply
    11,265.75x = 16,805.81 × 16,805.81
  4. Step 4: Simplify right side
    11,265.75x = 282,435,333.79
  5. Step 5: Solve for x
    x = 282,435,333.79/11,265.75
  6. Step 6: Final answer
    x = 25,070.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.