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Finding the Third Proportional to 2,914.10 and 6,293.79

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Solution

The third proportional to 2,914.10 and 6,293.79 is: 13,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.10 : 6,293.79 = 6,293.79 : x
  2. Step 2: Convert to fraction form
    2,914.10/6,293.79 = 6,293.79/x
  3. Step 3: Cross multiply
    2,914.10x = 6,293.79 × 6,293.79
  4. Step 4: Simplify right side
    2,914.10x = 39,611,854.52
  5. Step 5: Solve for x
    x = 39,611,854.52/2,914.10
  6. Step 6: Final answer
    x = 13,593.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.