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Finding the Third Proportional to 9,202.99 and 14,596.45

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Solution

The third proportional to 9,202.99 and 14,596.45 is: 23,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.99 : 14,596.45 = 14,596.45 : x
  2. Step 2: Convert to fraction form
    9,202.99/14,596.45 = 14,596.45/x
  3. Step 3: Cross multiply
    9,202.99x = 14,596.45 × 14,596.45
  4. Step 4: Simplify right side
    9,202.99x = 213,056,443.83
  5. Step 5: Solve for x
    x = 213,056,443.83/9,202.99
  6. Step 6: Final answer
    x = 23,150.78

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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.