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Finding the Third Proportional to 52,336 and 69,648

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Solution

The third proportional to 52,336 and 69,648 is: 92,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,336 : 69,648 = 69,648 : x
  2. Step 2: Convert to fraction form
    52,336/69,648 = 69,648/x
  3. Step 3: Cross multiply
    52,336x = 69,648 × 69,648
  4. Step 4: Simplify right side
    52,336x = 4,850,843,904
  5. Step 5: Solve for x
    x = 4,850,843,904/52,336
  6. Step 6: Final answer
    x = 92,686.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.