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Finding the Third Proportional to 5,809.50 and 9,232.31

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Solution

The third proportional to 5,809.50 and 9,232.31 is: 14,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.50 : 9,232.31 = 9,232.31 : x
  2. Step 2: Convert to fraction form
    5,809.50/9,232.31 = 9,232.31/x
  3. Step 3: Cross multiply
    5,809.50x = 9,232.31 × 9,232.31
  4. Step 4: Simplify right side
    5,809.50x = 85,235,594.10
  5. Step 5: Solve for x
    x = 85,235,594.10/5,809.50
  6. Step 6: Final answer
    x = 14,671.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.