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Finding the Third Proportional to 25,999 and 53,229

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Solution

The third proportional to 25,999 and 53,229 is: 108,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999 : 53,229 = 53,229 : x
  2. Step 2: Convert to fraction form
    25,999/53,229 = 53,229/x
  3. Step 3: Cross multiply
    25,999x = 53,229 × 53,229
  4. Step 4: Simplify right side
    25,999x = 2,833,326,441
  5. Step 5: Solve for x
    x = 2,833,326,441/25,999
  6. Step 6: Final answer
    x = 108,978.29

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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.