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Finding the Third Proportional to 27,764 and 42,336

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Solution

The third proportional to 27,764 and 42,336 is: 64,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 42,336 = 42,336 : x
  2. Step 2: Convert to fraction form
    27,764/42,336 = 42,336/x
  3. Step 3: Cross multiply
    27,764x = 42,336 × 42,336
  4. Step 4: Simplify right side
    27,764x = 1,792,336,896
  5. Step 5: Solve for x
    x = 1,792,336,896/27,764
  6. Step 6: Final answer
    x = 64,556.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.