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Finding the Third Proportional to 14,661 and 31,601.81

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Solution

The third proportional to 14,661 and 31,601.81 is: 68,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661 : 31,601.81 = 31,601.81 : x
  2. Step 2: Convert to fraction form
    14,661/31,601.81 = 31,601.81/x
  3. Step 3: Cross multiply
    14,661x = 31,601.81 × 31,601.81
  4. Step 4: Simplify right side
    14,661x = 998,674,553.29
  5. Step 5: Solve for x
    x = 998,674,553.29/14,661
  6. Step 6: Final answer
    x = 68,117.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.