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Finding the Third Proportional to 4,687.24 and 7,153.31

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Solution

The third proportional to 4,687.24 and 7,153.31 is: 10,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.24 : 7,153.31 = 7,153.31 : x
  2. Step 2: Convert to fraction form
    4,687.24/7,153.31 = 7,153.31/x
  3. Step 3: Cross multiply
    4,687.24x = 7,153.31 × 7,153.31
  4. Step 4: Simplify right side
    4,687.24x = 51,169,879.72
  5. Step 5: Solve for x
    x = 51,169,879.72/4,687.24
  6. Step 6: Final answer
    x = 10,916.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.