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Finding the Third Proportional to 14,838.19 and 31,331.81

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Solution

The third proportional to 14,838.19 and 31,331.81 is: 66,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.19 : 31,331.81 = 31,331.81 : x
  2. Step 2: Convert to fraction form
    14,838.19/31,331.81 = 31,331.81/x
  3. Step 3: Cross multiply
    14,838.19x = 31,331.81 × 31,331.81
  4. Step 4: Simplify right side
    14,838.19x = 981,682,474.54
  5. Step 5: Solve for x
    x = 981,682,474.54/14,838.19
  6. Step 6: Final answer
    x = 66,159.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.