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Finding the Third Proportional to 25,913 and 41,253

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Solution

The third proportional to 25,913 and 41,253 is: 65,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913 : 41,253 = 41,253 : x
  2. Step 2: Convert to fraction form
    25,913/41,253 = 41,253/x
  3. Step 3: Cross multiply
    25,913x = 41,253 × 41,253
  4. Step 4: Simplify right side
    25,913x = 1,701,810,009
  5. Step 5: Solve for x
    x = 1,701,810,009/25,913
  6. Step 6: Final answer
    x = 65,673.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.