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Finding the Third Proportional to 2,952.07 and 4,140.49

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Solution

The third proportional to 2,952.07 and 4,140.49 is: 5,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.07 : 4,140.49 = 4,140.49 : x
  2. Step 2: Convert to fraction form
    2,952.07/4,140.49 = 4,140.49/x
  3. Step 3: Cross multiply
    2,952.07x = 4,140.49 × 4,140.49
  4. Step 4: Simplify right side
    2,952.07x = 17,143,675.55
  5. Step 5: Solve for x
    x = 17,143,675.55/2,952.07
  6. Step 6: Final answer
    x = 5,807.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.