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Finding the Third Proportional to 31,398.75 and 44,763.75

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Solution

The third proportional to 31,398.75 and 44,763.75 is: 63,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.75 : 44,763.75 = 44,763.75 : x
  2. Step 2: Convert to fraction form
    31,398.75/44,763.75 = 44,763.75/x
  3. Step 3: Cross multiply
    31,398.75x = 44,763.75 × 44,763.75
  4. Step 4: Simplify right side
    31,398.75x = 2,003,793,314.06
  5. Step 5: Solve for x
    x = 2,003,793,314.06/31,398.75
  6. Step 6: Final answer
    x = 63,817.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.