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Finding the Third Proportional to 34,754 and 53,923

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Solution

The third proportional to 34,754 and 53,923 is: 83,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754 : 53,923 = 53,923 : x
  2. Step 2: Convert to fraction form
    34,754/53,923 = 53,923/x
  3. Step 3: Cross multiply
    34,754x = 53,923 × 53,923
  4. Step 4: Simplify right side
    34,754x = 2,907,689,929
  5. Step 5: Solve for x
    x = 2,907,689,929/34,754
  6. Step 6: Final answer
    x = 83,664.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.