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Finding the Third Proportional to 14,401.13 and 31,412.81

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Solution

The third proportional to 14,401.13 and 31,412.81 is: 68,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.13 : 31,412.81 = 31,412.81 : x
  2. Step 2: Convert to fraction form
    14,401.13/31,412.81 = 31,412.81/x
  3. Step 3: Cross multiply
    14,401.13x = 31,412.81 × 31,412.81
  4. Step 4: Simplify right side
    14,401.13x = 986,764,789.16
  5. Step 5: Solve for x
    x = 986,764,789.16/14,401.13
  6. Step 6: Final answer
    x = 68,519.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.