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Finding the Third Proportional to 31,328 and 65,732

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Solution

The third proportional to 31,328 and 65,732 is: 137,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328 : 65,732 = 65,732 : x
  2. Step 2: Convert to fraction form
    31,328/65,732 = 65,732/x
  3. Step 3: Cross multiply
    31,328x = 65,732 × 65,732
  4. Step 4: Simplify right side
    31,328x = 4,320,695,824
  5. Step 5: Solve for x
    x = 4,320,695,824/31,328
  6. Step 6: Final answer
    x = 137,918.02

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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.