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Finding the Third Proportional to 1,403.18 and 3,065.86

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Solution

The third proportional to 1,403.18 and 3,065.86 is: 6,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.18 : 3,065.86 = 3,065.86 : x
  2. Step 2: Convert to fraction form
    1,403.18/3,065.86 = 3,065.86/x
  3. Step 3: Cross multiply
    1,403.18x = 3,065.86 × 3,065.86
  4. Step 4: Simplify right side
    1,403.18x = 9,399,484.73
  5. Step 5: Solve for x
    x = 9,399,484.73/1,403.18
  6. Step 6: Final answer
    x = 6,698.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.