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Finding the Third Proportional to 20,973.75 and 31,731

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Solution

The third proportional to 20,973.75 and 31,731 is: 48,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.75 : 31,731 = 31,731 : x
  2. Step 2: Convert to fraction form
    20,973.75/31,731 = 31,731/x
  3. Step 3: Cross multiply
    20,973.75x = 31,731 × 31,731
  4. Step 4: Simplify right side
    20,973.75x = 1,006,856,361
  5. Step 5: Solve for x
    x = 1,006,856,361/20,973.75
  6. Step 6: Final answer
    x = 48,005.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.