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Finding the Third Proportional to 35,824 and 51,592

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Solution

The third proportional to 35,824 and 51,592 is: 74,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824 : 51,592 = 51,592 : x
  2. Step 2: Convert to fraction form
    35,824/51,592 = 51,592/x
  3. Step 3: Cross multiply
    35,824x = 51,592 × 51,592
  4. Step 4: Simplify right side
    35,824x = 2,661,734,464
  5. Step 5: Solve for x
    x = 2,661,734,464/35,824
  6. Step 6: Final answer
    x = 74,300.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.