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Finding the Third Proportional to 25,484 and 59,962

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Solution

The third proportional to 25,484 and 59,962 is: 141,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484 : 59,962 = 59,962 : x
  2. Step 2: Convert to fraction form
    25,484/59,962 = 59,962/x
  3. Step 3: Cross multiply
    25,484x = 59,962 × 59,962
  4. Step 4: Simplify right side
    25,484x = 3,595,441,444
  5. Step 5: Solve for x
    x = 3,595,441,444/25,484
  6. Step 6: Final answer
    x = 141,086.23

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.