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Finding the Third Proportional to 6,523.03 and 14,268.66

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Solution

The third proportional to 6,523.03 and 14,268.66 is: 31,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.03 : 14,268.66 = 14,268.66 : x
  2. Step 2: Convert to fraction form
    6,523.03/14,268.66 = 14,268.66/x
  3. Step 3: Cross multiply
    6,523.03x = 14,268.66 × 14,268.66
  4. Step 4: Simplify right side
    6,523.03x = 203,594,551.18
  5. Step 5: Solve for x
    x = 203,594,551.18/6,523.03
  6. Step 6: Final answer
    x = 31,211.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.