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Finding the Third Proportional to 27,548 and 38,946

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Solution

The third proportional to 27,548 and 38,946 is: 55,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548 : 38,946 = 38,946 : x
  2. Step 2: Convert to fraction form
    27,548/38,946 = 38,946/x
  3. Step 3: Cross multiply
    27,548x = 38,946 × 38,946
  4. Step 4: Simplify right side
    27,548x = 1,516,790,916
  5. Step 5: Solve for x
    x = 1,516,790,916/27,548
  6. Step 6: Final answer
    x = 55,059.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.