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Finding the Third Proportional to 25,473 and 54,226

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Solution

The third proportional to 25,473 and 54,226 is: 115,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,473 : 54,226 = 54,226 : x
  2. Step 2: Convert to fraction form
    25,473/54,226 = 54,226/x
  3. Step 3: Cross multiply
    25,473x = 54,226 × 54,226
  4. Step 4: Simplify right side
    25,473x = 2,940,459,076
  5. Step 5: Solve for x
    x = 2,940,459,076/25,473
  6. Step 6: Final answer
    x = 115,434.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.