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Finding the Third Proportional to 27,548 and 56,548

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Solution

The third proportional to 27,548 and 56,548 is: 116,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548 : 56,548 = 56,548 : x
  2. Step 2: Convert to fraction form
    27,548/56,548 = 56,548/x
  3. Step 3: Cross multiply
    27,548x = 56,548 × 56,548
  4. Step 4: Simplify right side
    27,548x = 3,197,676,304
  5. Step 5: Solve for x
    x = 3,197,676,304/27,548
  6. Step 6: Final answer
    x = 116,076.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.