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Finding the Third Proportional to 27,458 and 37,295

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Solution

The third proportional to 27,458 and 37,295 is: 50,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458 : 37,295 = 37,295 : x
  2. Step 2: Convert to fraction form
    27,458/37,295 = 37,295/x
  3. Step 3: Cross multiply
    27,458x = 37,295 × 37,295
  4. Step 4: Simplify right side
    27,458x = 1,390,917,025
  5. Step 5: Solve for x
    x = 1,390,917,025/27,458
  6. Step 6: Final answer
    x = 50,656.17

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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.