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Finding the Third Proportional to 51,644 and 69,692

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Solution

The third proportional to 51,644 and 69,692 is: 94,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,644 : 69,692 = 69,692 : x
  2. Step 2: Convert to fraction form
    51,644/69,692 = 69,692/x
  3. Step 3: Cross multiply
    51,644x = 69,692 × 69,692
  4. Step 4: Simplify right side
    51,644x = 4,856,974,864
  5. Step 5: Solve for x
    x = 4,856,974,864/51,644
  6. Step 6: Final answer
    x = 94,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.