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Finding the Third Proportional to 5,977.55 and 13,134.66

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Solution

The third proportional to 5,977.55 and 13,134.66 is: 28,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.55 : 13,134.66 = 13,134.66 : x
  2. Step 2: Convert to fraction form
    5,977.55/13,134.66 = 13,134.66/x
  3. Step 3: Cross multiply
    5,977.55x = 13,134.66 × 13,134.66
  4. Step 4: Simplify right side
    5,977.55x = 172,519,194.81
  5. Step 5: Solve for x
    x = 172,519,194.81/5,977.55
  6. Step 6: Final answer
    x = 28,861.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.