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Finding the Third Proportional to 3,196.13 and 6,783.75

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Solution

The third proportional to 3,196.13 and 6,783.75 is: 14,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.13 : 6,783.75 = 6,783.75 : x
  2. Step 2: Convert to fraction form
    3,196.13/6,783.75 = 6,783.75/x
  3. Step 3: Cross multiply
    3,196.13x = 6,783.75 × 6,783.75
  4. Step 4: Simplify right side
    3,196.13x = 46,019,264.06
  5. Step 5: Solve for x
    x = 46,019,264.06/3,196.13
  6. Step 6: Final answer
    x = 14,398.46

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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.