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Finding the Third Proportional to 3,164.63 and 6,815.81

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Solution

The third proportional to 3,164.63 and 6,815.81 is: 14,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.63 : 6,815.81 = 6,815.81 : x
  2. Step 2: Convert to fraction form
    3,164.63/6,815.81 = 6,815.81/x
  3. Step 3: Cross multiply
    3,164.63x = 6,815.81 × 6,815.81
  4. Step 4: Simplify right side
    3,164.63x = 46,455,300.04
  5. Step 5: Solve for x
    x = 46,455,300.04/3,164.63
  6. Step 6: Final answer
    x = 14,679.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.