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Finding the Third Proportional to 27,154 and 41,959

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Solution

The third proportional to 27,154 and 41,959 is: 64,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154 : 41,959 = 41,959 : x
  2. Step 2: Convert to fraction form
    27,154/41,959 = 41,959/x
  3. Step 3: Cross multiply
    27,154x = 41,959 × 41,959
  4. Step 4: Simplify right side
    27,154x = 1,760,557,681
  5. Step 5: Solve for x
    x = 1,760,557,681/27,154
  6. Step 6: Final answer
    x = 64,836.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.