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Finding the Third Proportional to 3,145.08 and 6,426.70

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Solution

The third proportional to 3,145.08 and 6,426.70 is: 13,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.08 : 6,426.70 = 6,426.70 : x
  2. Step 2: Convert to fraction form
    3,145.08/6,426.70 = 6,426.70/x
  3. Step 3: Cross multiply
    3,145.08x = 6,426.70 × 6,426.70
  4. Step 4: Simplify right side
    3,145.08x = 41,302,513.06
  5. Step 5: Solve for x
    x = 41,302,513.06/3,145.08
  6. Step 6: Final answer
    x = 13,132.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.