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Finding the Third Proportional to 4,737.66 and 7,409.81

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Solution

The third proportional to 4,737.66 and 7,409.81 is: 11,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.66 : 7,409.81 = 7,409.81 : x
  2. Step 2: Convert to fraction form
    4,737.66/7,409.81 = 7,409.81/x
  3. Step 3: Cross multiply
    4,737.66x = 7,409.81 × 7,409.81
  4. Step 4: Simplify right side
    4,737.66x = 54,905,321.29
  5. Step 5: Solve for x
    x = 54,905,321.29/4,737.66
  6. Step 6: Final answer
    x = 11,589.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.