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Finding the Third Proportional to 5,809.50 and 9,321.75

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Solution

The third proportional to 5,809.50 and 9,321.75 is: 14,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.50 : 9,321.75 = 9,321.75 : x
  2. Step 2: Convert to fraction form
    5,809.50/9,321.75 = 9,321.75/x
  3. Step 3: Cross multiply
    5,809.50x = 9,321.75 × 9,321.75
  4. Step 4: Simplify right side
    5,809.50x = 86,895,023.06
  5. Step 5: Solve for x
    x = 86,895,023.06/5,809.50
  6. Step 6: Final answer
    x = 14,957.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.