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Finding the Third Proportional to 6,114.09 and 9,184.64

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Solution

The third proportional to 6,114.09 and 9,184.64 is: 13,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.09 : 9,184.64 = 9,184.64 : x
  2. Step 2: Convert to fraction form
    6,114.09/9,184.64 = 9,184.64/x
  3. Step 3: Cross multiply
    6,114.09x = 9,184.64 × 9,184.64
  4. Step 4: Simplify right side
    6,114.09x = 84,357,623.41
  5. Step 5: Solve for x
    x = 84,357,623.41/6,114.09
  6. Step 6: Final answer
    x = 13,797.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.