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Finding the Third Proportional to 31,332 and 65,945

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Solution

The third proportional to 31,332 and 65,945 is: 138,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332 : 65,945 = 65,945 : x
  2. Step 2: Convert to fraction form
    31,332/65,945 = 65,945/x
  3. Step 3: Cross multiply
    31,332x = 65,945 × 65,945
  4. Step 4: Simplify right side
    31,332x = 4,348,743,025
  5. Step 5: Solve for x
    x = 4,348,743,025/31,332
  6. Step 6: Final answer
    x = 138,795.58

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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.