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Finding the Third Proportional to 11,017.75 and 16,784.88

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Solution

The third proportional to 11,017.75 and 16,784.88 is: 25,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.75 : 16,784.88 = 16,784.88 : x
  2. Step 2: Convert to fraction form
    11,017.75/16,784.88 = 16,784.88/x
  3. Step 3: Cross multiply
    11,017.75x = 16,784.88 × 16,784.88
  4. Step 4: Simplify right side
    11,017.75x = 281,732,028.77
  5. Step 5: Solve for x
    x = 281,732,028.77/11,017.75
  6. Step 6: Final answer
    x = 25,570.74

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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.