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Finding the Third Proportional to 5,173.66 and 7,776.32

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Solution

The third proportional to 5,173.66 and 7,776.32 is: 11,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.66 : 7,776.32 = 7,776.32 : x
  2. Step 2: Convert to fraction form
    5,173.66/7,776.32 = 7,776.32/x
  3. Step 3: Cross multiply
    5,173.66x = 7,776.32 × 7,776.32
  4. Step 4: Simplify right side
    5,173.66x = 60,471,096.85
  5. Step 5: Solve for x
    x = 60,471,096.85/5,173.66
  6. Step 6: Final answer
    x = 11,688.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.