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Finding the Third Proportional to 31,054.75 and 67,069.75

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Solution

The third proportional to 31,054.75 and 67,069.75 is: 144,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.75 : 67,069.75 = 67,069.75 : x
  2. Step 2: Convert to fraction form
    31,054.75/67,069.75 = 67,069.75/x
  3. Step 3: Cross multiply
    31,054.75x = 67,069.75 × 67,069.75
  4. Step 4: Simplify right side
    31,054.75x = 4,498,351,365.06
  5. Step 5: Solve for x
    x = 4,498,351,365.06/31,054.75
  6. Step 6: Final answer
    x = 144,852.28

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Why These Related Problems?

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