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Finding the Third Proportional to 27,468 and 37,313

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Solution

The third proportional to 27,468 and 37,313 is: 50,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468 : 37,313 = 37,313 : x
  2. Step 2: Convert to fraction form
    27,468/37,313 = 37,313/x
  3. Step 3: Cross multiply
    27,468x = 37,313 × 37,313
  4. Step 4: Simplify right side
    27,468x = 1,392,259,969
  5. Step 5: Solve for x
    x = 1,392,259,969/27,468
  6. Step 6: Final answer
    x = 50,686.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.