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Finding the Third Proportional to 25,780.50 and 36,774

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Solution

The third proportional to 25,780.50 and 36,774 is: 52,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.50 : 36,774 = 36,774 : x
  2. Step 2: Convert to fraction form
    25,780.50/36,774 = 36,774/x
  3. Step 3: Cross multiply
    25,780.50x = 36,774 × 36,774
  4. Step 4: Simplify right side
    25,780.50x = 1,352,327,076
  5. Step 5: Solve for x
    x = 1,352,327,076/25,780.50
  6. Step 6: Final answer
    x = 52,455.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.