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Finding the Third Proportional to 9,046.50 and 14,359.13

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Solution

The third proportional to 9,046.50 and 14,359.13 is: 22,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.50 : 14,359.13 = 14,359.13 : x
  2. Step 2: Convert to fraction form
    9,046.50/14,359.13 = 14,359.13/x
  3. Step 3: Cross multiply
    9,046.50x = 14,359.13 × 14,359.13
  4. Step 4: Simplify right side
    9,046.50x = 206,184,470.77
  5. Step 5: Solve for x
    x = 206,184,470.77/9,046.50
  6. Step 6: Final answer
    x = 22,791.63

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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.