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Finding the Third Proportional to 3,485.53 and 9,063.14

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Solution

The third proportional to 3,485.53 and 9,063.14 is: 23,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.53 : 9,063.14 = 9,063.14 : x
  2. Step 2: Convert to fraction form
    3,485.53/9,063.14 = 9,063.14/x
  3. Step 3: Cross multiply
    3,485.53x = 9,063.14 × 9,063.14
  4. Step 4: Simplify right side
    3,485.53x = 82,140,517.99
  5. Step 5: Solve for x
    x = 82,140,517.99/3,485.53
  6. Step 6: Final answer
    x = 23,566.14

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.