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Finding the Third Proportional to 9,450 and 10,732.50

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Solution

The third proportional to 9,450 and 10,732.50 is: 12,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 10,732.50 = 10,732.50 : x
  2. Step 2: Convert to fraction form
    9,450/10,732.50 = 10,732.50/x
  3. Step 3: Cross multiply
    9,450x = 10,732.50 × 10,732.50
  4. Step 4: Simplify right side
    9,450x = 115,186,556.25
  5. Step 5: Solve for x
    x = 115,186,556.25/9,450
  6. Step 6: Final answer
    x = 12,189.05

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.