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Finding the Third Proportional to 6,488.16 and 14,016.66

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Solution

The third proportional to 6,488.16 and 14,016.66 is: 30,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.16 : 14,016.66 = 14,016.66 : x
  2. Step 2: Convert to fraction form
    6,488.16/14,016.66 = 14,016.66/x
  3. Step 3: Cross multiply
    6,488.16x = 14,016.66 × 14,016.66
  4. Step 4: Simplify right side
    6,488.16x = 196,466,652.43
  5. Step 5: Solve for x
    x = 196,466,652.43/6,488.16
  6. Step 6: Final answer
    x = 30,280.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.