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Finding the Third Proportional to 25,915 and 55,383

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Solution

The third proportional to 25,915 and 55,383 is: 118,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915 : 55,383 = 55,383 : x
  2. Step 2: Convert to fraction form
    25,915/55,383 = 55,383/x
  3. Step 3: Cross multiply
    25,915x = 55,383 × 55,383
  4. Step 4: Simplify right side
    25,915x = 3,067,276,689
  5. Step 5: Solve for x
    x = 3,067,276,689/25,915
  6. Step 6: Final answer
    x = 118,359.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.