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Finding the Third Proportional to 31,656 and 42,444

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Solution

The third proportional to 31,656 and 42,444 is: 56,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656 : 42,444 = 42,444 : x
  2. Step 2: Convert to fraction form
    31,656/42,444 = 42,444/x
  3. Step 3: Cross multiply
    31,656x = 42,444 × 42,444
  4. Step 4: Simplify right side
    31,656x = 1,801,493,136
  5. Step 5: Solve for x
    x = 1,801,493,136/31,656
  6. Step 6: Final answer
    x = 56,908.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.