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Finding the Third Proportional to 25,809 and 28,239

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Solution

The third proportional to 25,809 and 28,239 is: 30,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809 : 28,239 = 28,239 : x
  2. Step 2: Convert to fraction form
    25,809/28,239 = 28,239/x
  3. Step 3: Cross multiply
    25,809x = 28,239 × 28,239
  4. Step 4: Simplify right side
    25,809x = 797,441,121
  5. Step 5: Solve for x
    x = 797,441,121/25,809
  6. Step 6: Final answer
    x = 30,897.79

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.