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Finding the Third Proportional to 14,229.74 and 31,227.40

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Solution

The third proportional to 14,229.74 and 31,227.40 is: 68,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.74 : 31,227.40 = 31,227.40 : x
  2. Step 2: Convert to fraction form
    14,229.74/31,227.40 = 31,227.40/x
  3. Step 3: Cross multiply
    14,229.74x = 31,227.40 × 31,227.40
  4. Step 4: Simplify right side
    14,229.74x = 975,150,413.17
  5. Step 5: Solve for x
    x = 975,150,413.17/14,229.74
  6. Step 6: Final answer
    x = 68,529.05

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Why These Related Problems?

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