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Finding the Third Proportional to 14,634.11 and 31,510.74

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Solution

The third proportional to 14,634.11 and 31,510.74 is: 67,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.11 : 31,510.74 = 31,510.74 : x
  2. Step 2: Convert to fraction form
    14,634.11/31,510.74 = 31,510.74/x
  3. Step 3: Cross multiply
    14,634.11x = 31,510.74 × 31,510.74
  4. Step 4: Simplify right side
    14,634.11x = 992,926,750.12
  5. Step 5: Solve for x
    x = 992,926,750.12/14,634.11
  6. Step 6: Final answer
    x = 67,850.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.