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Finding the Third Proportional to 34,932 and 55,344

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Solution

The third proportional to 34,932 and 55,344 is: 87,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,932 : 55,344 = 55,344 : x
  2. Step 2: Convert to fraction form
    34,932/55,344 = 55,344/x
  3. Step 3: Cross multiply
    34,932x = 55,344 × 55,344
  4. Step 4: Simplify right side
    34,932x = 3,062,958,336
  5. Step 5: Solve for x
    x = 3,062,958,336/34,932
  6. Step 6: Final answer
    x = 87,683.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.