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Finding the Third Proportional to 25,009 and 54,986

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Solution

The third proportional to 25,009 and 54,986 is: 120,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009 : 54,986 = 54,986 : x
  2. Step 2: Convert to fraction form
    25,009/54,986 = 54,986/x
  3. Step 3: Cross multiply
    25,009x = 54,986 × 54,986
  4. Step 4: Simplify right side
    25,009x = 3,023,460,196
  5. Step 5: Solve for x
    x = 3,023,460,196/25,009
  6. Step 6: Final answer
    x = 120,894.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.