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Finding the Third Proportional to 15,824 and 36,641

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Solution

The third proportional to 15,824 and 36,641 is: 84,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 36,641 = 36,641 : x
  2. Step 2: Convert to fraction form
    15,824/36,641 = 36,641/x
  3. Step 3: Cross multiply
    15,824x = 36,641 × 36,641
  4. Step 4: Simplify right side
    15,824x = 1,342,562,881
  5. Step 5: Solve for x
    x = 1,342,562,881/15,824
  6. Step 6: Final answer
    x = 84,843.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.