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Finding the Third Proportional to 4,600.86 and 5,614.63

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Solution

The third proportional to 4,600.86 and 5,614.63 is: 6,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.86 : 5,614.63 = 5,614.63 : x
  2. Step 2: Convert to fraction form
    4,600.86/5,614.63 = 5,614.63/x
  3. Step 3: Cross multiply
    4,600.86x = 5,614.63 × 5,614.63
  4. Step 4: Simplify right side
    4,600.86x = 31,524,057.75
  5. Step 5: Solve for x
    x = 31,524,057.75/4,600.86
  6. Step 6: Final answer
    x = 6,851.77

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.