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Finding the Third Proportional to 4,989.09 and 7,586.16

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Solution

The third proportional to 4,989.09 and 7,586.16 is: 11,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.09 : 7,586.16 = 7,586.16 : x
  2. Step 2: Convert to fraction form
    4,989.09/7,586.16 = 7,586.16/x
  3. Step 3: Cross multiply
    4,989.09x = 7,586.16 × 7,586.16
  4. Step 4: Simplify right side
    4,989.09x = 57,549,766.65
  5. Step 5: Solve for x
    x = 57,549,766.65/4,989.09
  6. Step 6: Final answer
    x = 11,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.