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Finding the Third Proportional to 25,766 and 39,190

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Solution

The third proportional to 25,766 and 39,190 is: 59,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,766 : 39,190 = 39,190 : x
  2. Step 2: Convert to fraction form
    25,766/39,190 = 39,190/x
  3. Step 3: Cross multiply
    25,766x = 39,190 × 39,190
  4. Step 4: Simplify right side
    25,766x = 1,535,856,100
  5. Step 5: Solve for x
    x = 1,535,856,100/25,766
  6. Step 6: Final answer
    x = 59,607.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.