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Finding the Third Proportional to 5,277.66 and 11,334.94

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Solution

The third proportional to 5,277.66 and 11,334.94 is: 24,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.66 : 11,334.94 = 11,334.94 : x
  2. Step 2: Convert to fraction form
    5,277.66/11,334.94 = 11,334.94/x
  3. Step 3: Cross multiply
    5,277.66x = 11,334.94 × 11,334.94
  4. Step 4: Simplify right side
    5,277.66x = 128,480,808.13
  5. Step 5: Solve for x
    x = 128,480,808.13/5,277.66
  6. Step 6: Final answer
    x = 24,344.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.