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Finding the Third Proportional to 31,411.55 and 68,470.95

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Solution

The third proportional to 31,411.55 and 68,470.95 is: 149,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.55 : 68,470.95 = 68,470.95 : x
  2. Step 2: Convert to fraction form
    31,411.55/68,470.95 = 68,470.95/x
  3. Step 3: Cross multiply
    31,411.55x = 68,470.95 × 68,470.95
  4. Step 4: Simplify right side
    31,411.55x = 4,688,270,351.99
  5. Step 5: Solve for x
    x = 4,688,270,351.99/31,411.55
  6. Step 6: Final answer
    x = 149,253.09

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