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Finding the Third Proportional to 9,057.50 and 12,189.75

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Solution

The third proportional to 9,057.50 and 12,189.75 is: 16,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.50 : 12,189.75 = 12,189.75 : x
  2. Step 2: Convert to fraction form
    9,057.50/12,189.75 = 12,189.75/x
  3. Step 3: Cross multiply
    9,057.50x = 12,189.75 × 12,189.75
  4. Step 4: Simplify right side
    9,057.50x = 148,590,005.06
  5. Step 5: Solve for x
    x = 148,590,005.06/9,057.50
  6. Step 6: Final answer
    x = 16,405.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.