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Finding the Third Proportional to 31,261.50 and 64,712.25

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Solution

The third proportional to 31,261.50 and 64,712.25 is: 133,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.50 : 64,712.25 = 64,712.25 : x
  2. Step 2: Convert to fraction form
    31,261.50/64,712.25 = 64,712.25/x
  3. Step 3: Cross multiply
    31,261.50x = 64,712.25 × 64,712.25
  4. Step 4: Simplify right side
    31,261.50x = 4,187,675,300.06
  5. Step 5: Solve for x
    x = 4,187,675,300.06/31,261.50
  6. Step 6: Final answer
    x = 133,956.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.