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Finding the Third Proportional to 3,485.53 and 7,586.16

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Solution

The third proportional to 3,485.53 and 7,586.16 is: 16,511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.53 : 7,586.16 = 7,586.16 : x
  2. Step 2: Convert to fraction form
    3,485.53/7,586.16 = 7,586.16/x
  3. Step 3: Cross multiply
    3,485.53x = 7,586.16 × 7,586.16
  4. Step 4: Simplify right side
    3,485.53x = 57,549,766.65
  5. Step 5: Solve for x
    x = 57,549,766.65/3,485.53
  6. Step 6: Final answer
    x = 16,511.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.