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Finding the Third Proportional to 2,952.70 and 6,140.81

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Solution

The third proportional to 2,952.70 and 6,140.81 is: 12,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.70 : 6,140.81 = 6,140.81 : x
  2. Step 2: Convert to fraction form
    2,952.70/6,140.81 = 6,140.81/x
  3. Step 3: Cross multiply
    2,952.70x = 6,140.81 × 6,140.81
  4. Step 4: Simplify right side
    2,952.70x = 37,709,578.16
  5. Step 5: Solve for x
    x = 37,709,578.16/2,952.70
  6. Step 6: Final answer
    x = 12,771.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.