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Finding the Third Proportional to 6,698.53 and 14,319.66

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Solution

The third proportional to 6,698.53 and 14,319.66 is: 30,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.53 : 14,319.66 = 14,319.66 : x
  2. Step 2: Convert to fraction form
    6,698.53/14,319.66 = 14,319.66/x
  3. Step 3: Cross multiply
    6,698.53x = 14,319.66 × 14,319.66
  4. Step 4: Simplify right side
    6,698.53x = 205,052,555.12
  5. Step 5: Solve for x
    x = 205,052,555.12/6,698.53
  6. Step 6: Final answer
    x = 30,611.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.