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Finding the Third Proportional to 2,914.50 and 6,292.50

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Solution

The third proportional to 2,914.50 and 6,292.50 is: 13,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.50 : 6,292.50 = 6,292.50 : x
  2. Step 2: Convert to fraction form
    2,914.50/6,292.50 = 6,292.50/x
  3. Step 3: Cross multiply
    2,914.50x = 6,292.50 × 6,292.50
  4. Step 4: Simplify right side
    2,914.50x = 39,595,556.25
  5. Step 5: Solve for x
    x = 39,595,556.25/2,914.50
  6. Step 6: Final answer
    x = 13,585.71

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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.