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Finding the Third Proportional to 47,824 and 66,896

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Solution

The third proportional to 47,824 and 66,896 is: 93,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,824 : 66,896 = 66,896 : x
  2. Step 2: Convert to fraction form
    47,824/66,896 = 66,896/x
  3. Step 3: Cross multiply
    47,824x = 66,896 × 66,896
  4. Step 4: Simplify right side
    47,824x = 4,475,074,816
  5. Step 5: Solve for x
    x = 4,475,074,816/47,824
  6. Step 6: Final answer
    x = 93,573.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.