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Finding the Third Proportional to 25,449 and 58,965

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Solution

The third proportional to 25,449 and 58,965 is: 136,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,449 : 58,965 = 58,965 : x
  2. Step 2: Convert to fraction form
    25,449/58,965 = 58,965/x
  3. Step 3: Cross multiply
    25,449x = 58,965 × 58,965
  4. Step 4: Simplify right side
    25,449x = 3,476,871,225
  5. Step 5: Solve for x
    x = 3,476,871,225/25,449
  6. Step 6: Final answer
    x = 136,621.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.