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Finding the Third Proportional to 11,017.48 and 16,784.48

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Solution

The third proportional to 11,017.48 and 16,784.48 is: 25,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.48 : 16,784.48 = 16,784.48 : x
  2. Step 2: Convert to fraction form
    11,017.48/16,784.48 = 16,784.48/x
  3. Step 3: Cross multiply
    11,017.48x = 16,784.48 × 16,784.48
  4. Step 4: Simplify right side
    11,017.48x = 281,718,915.73
  5. Step 5: Solve for x
    x = 281,718,915.73/11,017.48
  6. Step 6: Final answer
    x = 25,570.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.