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Finding the Third Proportional to 11,191.50 and 17,853.75

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Solution

The third proportional to 11,191.50 and 17,853.75 is: 28,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.50 : 17,853.75 = 17,853.75 : x
  2. Step 2: Convert to fraction form
    11,191.50/17,853.75 = 17,853.75/x
  3. Step 3: Cross multiply
    11,191.50x = 17,853.75 × 17,853.75
  4. Step 4: Simplify right side
    11,191.50x = 318,756,389.06
  5. Step 5: Solve for x
    x = 318,756,389.06/11,191.50
  6. Step 6: Final answer
    x = 28,482.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.