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Finding the Third Proportional to 25,532 and 36,774

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Solution

The third proportional to 25,532 and 36,774 is: 52,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532 : 36,774 = 36,774 : x
  2. Step 2: Convert to fraction form
    25,532/36,774 = 36,774/x
  3. Step 3: Cross multiply
    25,532x = 36,774 × 36,774
  4. Step 4: Simplify right side
    25,532x = 1,352,327,076
  5. Step 5: Solve for x
    x = 1,352,327,076/25,532
  6. Step 6: Final answer
    x = 52,965.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.