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Finding the Third Proportional to 5,129.37 and 7,334.93

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Solution

The third proportional to 5,129.37 and 7,334.93 is: 10,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.37 : 7,334.93 = 7,334.93 : x
  2. Step 2: Convert to fraction form
    5,129.37/7,334.93 = 7,334.93/x
  3. Step 3: Cross multiply
    5,129.37x = 7,334.93 × 7,334.93
  4. Step 4: Simplify right side
    5,129.37x = 53,801,193.52
  5. Step 5: Solve for x
    x = 53,801,193.52/5,129.37
  6. Step 6: Final answer
    x = 10,488.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.