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Finding the Third Proportional to 31,602.75 and 67,703.44

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Solution

The third proportional to 31,602.75 and 67,703.44 is: 145,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.75 : 67,703.44 = 67,703.44 : x
  2. Step 2: Convert to fraction form
    31,602.75/67,703.44 = 67,703.44/x
  3. Step 3: Cross multiply
    31,602.75x = 67,703.44 × 67,703.44
  4. Step 4: Simplify right side
    31,602.75x = 4,583,755,449.32
  5. Step 5: Solve for x
    x = 4,583,755,449.32/31,602.75
  6. Step 6: Final answer
    x = 145,042.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.