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Finding the Third Proportional to 27,056 and 40,908

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Solution

The third proportional to 27,056 and 40,908 is: 61,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056 : 40,908 = 40,908 : x
  2. Step 2: Convert to fraction form
    27,056/40,908 = 40,908/x
  3. Step 3: Cross multiply
    27,056x = 40,908 × 40,908
  4. Step 4: Simplify right side
    27,056x = 1,673,464,464
  5. Step 5: Solve for x
    x = 1,673,464,464/27,056
  6. Step 6: Final answer
    x = 61,851.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.