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Finding the Third Proportional to 5,110.12 and 7,496.93

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Solution

The third proportional to 5,110.12 and 7,496.93 is: 10,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.12 : 7,496.93 = 7,496.93 : x
  2. Step 2: Convert to fraction form
    5,110.12/7,496.93 = 7,496.93/x
  3. Step 3: Cross multiply
    5,110.12x = 7,496.93 × 7,496.93
  4. Step 4: Simplify right side
    5,110.12x = 56,203,954.74
  5. Step 5: Solve for x
    x = 56,203,954.74/5,110.12
  6. Step 6: Final answer
    x = 10,998.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.