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Finding the Third Proportional to 31,924 and 42,944

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Solution

The third proportional to 31,924 and 42,944 is: 57,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924 : 42,944 = 42,944 : x
  2. Step 2: Convert to fraction form
    31,924/42,944 = 42,944/x
  3. Step 3: Cross multiply
    31,924x = 42,944 × 42,944
  4. Step 4: Simplify right side
    31,924x = 1,844,187,136
  5. Step 5: Solve for x
    x = 1,844,187,136/31,924
  6. Step 6: Final answer
    x = 57,768.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.