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Finding the Third Proportional to 25,881 and 61,138.50

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Solution

The third proportional to 25,881 and 61,138.50 is: 144,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881 : 61,138.50 = 61,138.50 : x
  2. Step 2: Convert to fraction form
    25,881/61,138.50 = 61,138.50/x
  3. Step 3: Cross multiply
    25,881x = 61,138.50 × 61,138.50
  4. Step 4: Simplify right side
    25,881x = 3,737,916,182.25
  5. Step 5: Solve for x
    x = 3,737,916,182.25/25,881
  6. Step 6: Final answer
    x = 144,427.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.