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Finding the Third Proportional to 14,510.81 and 31,754.95

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Solution

The third proportional to 14,510.81 and 31,754.95 is: 69,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.81 : 31,754.95 = 31,754.95 : x
  2. Step 2: Convert to fraction form
    14,510.81/31,754.95 = 31,754.95/x
  3. Step 3: Cross multiply
    14,510.81x = 31,754.95 × 31,754.95
  4. Step 4: Simplify right side
    14,510.81x = 1,008,377,047.97
  5. Step 5: Solve for x
    x = 1,008,377,047.97/14,510.81
  6. Step 6: Final answer
    x = 69,491.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.