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Finding the Third Proportional to 17,784.56 and 28,005.75

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Solution

The third proportional to 17,784.56 and 28,005.75 is: 44,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.56 : 28,005.75 = 28,005.75 : x
  2. Step 2: Convert to fraction form
    17,784.56/28,005.75 = 28,005.75/x
  3. Step 3: Cross multiply
    17,784.56x = 28,005.75 × 28,005.75
  4. Step 4: Simplify right side
    17,784.56x = 784,322,033.06
  5. Step 5: Solve for x
    x = 784,322,033.06/17,784.56
  6. Step 6: Final answer
    x = 44,101.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.