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Finding the Third Proportional to 3,399.47 and 5,200.45

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Solution

The third proportional to 3,399.47 and 5,200.45 is: 7,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.47 : 5,200.45 = 5,200.45 : x
  2. Step 2: Convert to fraction form
    3,399.47/5,200.45 = 5,200.45/x
  3. Step 3: Cross multiply
    3,399.47x = 5,200.45 × 5,200.45
  4. Step 4: Simplify right side
    3,399.47x = 27,044,712.71
  5. Step 5: Solve for x
    x = 27,044,712.71/3,399.47
  6. Step 6: Final answer
    x = 7,955.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.