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Finding the Third Proportional to 7,277.66 and 15,592.82

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Solution

The third proportional to 7,277.66 and 15,592.82 is: 33,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.66 : 15,592.82 = 15,592.82 : x
  2. Step 2: Convert to fraction form
    7,277.66/15,592.82 = 15,592.82/x
  3. Step 3: Cross multiply
    7,277.66x = 15,592.82 × 15,592.82
  4. Step 4: Simplify right side
    7,277.66x = 243,135,923.48
  5. Step 5: Solve for x
    x = 243,135,923.48/7,277.66
  6. Step 6: Final answer
    x = 33,408.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.