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Finding the Third Proportional to 25,398 and 55,497

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Solution

The third proportional to 25,398 and 55,497 is: 121,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,398 : 55,497 = 55,497 : x
  2. Step 2: Convert to fraction form
    25,398/55,497 = 55,497/x
  3. Step 3: Cross multiply
    25,398x = 55,497 × 55,497
  4. Step 4: Simplify right side
    25,398x = 3,079,917,009
  5. Step 5: Solve for x
    x = 3,079,917,009/25,398
  6. Step 6: Final answer
    x = 121,266.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.