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Finding the Third Proportional to 14,738.04 and 31,811.17

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Solution

The third proportional to 14,738.04 and 31,811.17 is: 68,662.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.04 : 31,811.17 = 31,811.17 : x
  2. Step 2: Convert to fraction form
    14,738.04/31,811.17 = 31,811.17/x
  3. Step 3: Cross multiply
    14,738.04x = 31,811.17 × 31,811.17
  4. Step 4: Simplify right side
    14,738.04x = 1,011,950,407.54
  5. Step 5: Solve for x
    x = 1,011,950,407.54/14,738.04
  6. Step 6: Final answer
    x = 68,662.46

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