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Finding the Third Proportional to 31,422 and 65,943

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Solution

The third proportional to 31,422 and 65,943 is: 138,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422 : 65,943 = 65,943 : x
  2. Step 2: Convert to fraction form
    31,422/65,943 = 65,943/x
  3. Step 3: Cross multiply
    31,422x = 65,943 × 65,943
  4. Step 4: Simplify right side
    31,422x = 4,348,479,249
  5. Step 5: Solve for x
    x = 4,348,479,249/31,422
  6. Step 6: Final answer
    x = 138,389.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.