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Finding the Third Proportional to 3,065.86 and 6,496.93

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Solution

The third proportional to 3,065.86 and 6,496.93 is: 13,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.86 : 6,496.93 = 6,496.93 : x
  2. Step 2: Convert to fraction form
    3,065.86/6,496.93 = 6,496.93/x
  3. Step 3: Cross multiply
    3,065.86x = 6,496.93 × 6,496.93
  4. Step 4: Simplify right side
    3,065.86x = 42,210,069.99
  5. Step 5: Solve for x
    x = 42,210,069.99/3,065.86
  6. Step 6: Final answer
    x = 13,767.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.