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Finding the Third Proportional to 25,220 and 39,477

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Solution

The third proportional to 25,220 and 39,477 is: 61,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,220 : 39,477 = 39,477 : x
  2. Step 2: Convert to fraction form
    25,220/39,477 = 39,477/x
  3. Step 3: Cross multiply
    25,220x = 39,477 × 39,477
  4. Step 4: Simplify right side
    25,220x = 1,558,433,529
  5. Step 5: Solve for x
    x = 1,558,433,529/25,220
  6. Step 6: Final answer
    x = 61,793.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.