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Finding the Third Proportional to 31,301 and 46,942

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Solution

The third proportional to 31,301 and 46,942 is: 70,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301 : 46,942 = 46,942 : x
  2. Step 2: Convert to fraction form
    31,301/46,942 = 46,942/x
  3. Step 3: Cross multiply
    31,301x = 46,942 × 46,942
  4. Step 4: Simplify right side
    31,301x = 2,203,551,364
  5. Step 5: Solve for x
    x = 2,203,551,364/31,301
  6. Step 6: Final answer
    x = 70,398.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.