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Finding the Third Proportional to 5,128.95 and 7,334.30

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Solution

The third proportional to 5,128.95 and 7,334.30 is: 10,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.95 : 7,334.30 = 7,334.30 : x
  2. Step 2: Convert to fraction form
    5,128.95/7,334.30 = 7,334.30/x
  3. Step 3: Cross multiply
    5,128.95x = 7,334.30 × 7,334.30
  4. Step 4: Simplify right side
    5,128.95x = 53,791,910.65
  5. Step 5: Solve for x
    x = 53,791,910.65/5,128.95
  6. Step 6: Final answer
    x = 10,487.91

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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.