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Finding the Third Proportional to 31,601.25 and 72,973.13

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Solution

The third proportional to 31,601.25 and 72,973.13 is: 168,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.25 : 72,973.13 = 72,973.13 : x
  2. Step 2: Convert to fraction form
    31,601.25/72,973.13 = 72,973.13/x
  3. Step 3: Cross multiply
    31,601.25x = 72,973.13 × 72,973.13
  4. Step 4: Simplify right side
    31,601.25x = 5,325,076,972.27
  5. Step 5: Solve for x
    x = 5,325,076,972.27/31,601.25
  6. Step 6: Final answer
    x = 168,508.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.