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Finding the Third Proportional to 5,014.72 and 7,795.46

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Solution

The third proportional to 5,014.72 and 7,795.46 is: 12,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.72 : 7,795.46 = 7,795.46 : x
  2. Step 2: Convert to fraction form
    5,014.72/7,795.46 = 7,795.46/x
  3. Step 3: Cross multiply
    5,014.72x = 7,795.46 × 7,795.46
  4. Step 4: Simplify right side
    5,014.72x = 60,769,180.78
  5. Step 5: Solve for x
    x = 60,769,180.78/5,014.72
  6. Step 6: Final answer
    x = 12,118.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.