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Finding the Third Proportional to 26,144 and 37,464

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Solution

The third proportional to 26,144 and 37,464 is: 53,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 37,464 = 37,464 : x
  2. Step 2: Convert to fraction form
    26,144/37,464 = 37,464/x
  3. Step 3: Cross multiply
    26,144x = 37,464 × 37,464
  4. Step 4: Simplify right side
    26,144x = 1,403,551,296
  5. Step 5: Solve for x
    x = 1,403,551,296/26,144
  6. Step 6: Final answer
    x = 53,685.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.