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Finding the Third Proportional to 31,622.50 and 47,641

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Solution

The third proportional to 31,622.50 and 47,641 is: 71,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622.50 : 47,641 = 47,641 : x
  2. Step 2: Convert to fraction form
    31,622.50/47,641 = 47,641/x
  3. Step 3: Cross multiply
    31,622.50x = 47,641 × 47,641
  4. Step 4: Simplify right side
    31,622.50x = 2,269,664,881
  5. Step 5: Solve for x
    x = 2,269,664,881/31,622.50
  6. Step 6: Final answer
    x = 71,773.73

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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.