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Finding the Third Proportional to 26,464 and 37,616

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Solution

The third proportional to 26,464 and 37,616 is: 53,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464 : 37,616 = 37,616 : x
  2. Step 2: Convert to fraction form
    26,464/37,616 = 37,616/x
  3. Step 3: Cross multiply
    26,464x = 37,616 × 37,616
  4. Step 4: Simplify right side
    26,464x = 1,414,963,456
  5. Step 5: Solve for x
    x = 1,414,963,456/26,464
  6. Step 6: Final answer
    x = 53,467.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.