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Finding the Third Proportional to 12,135 and 25,306.50

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Solution

The third proportional to 12,135 and 25,306.50 is: 52,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135 : 25,306.50 = 25,306.50 : x
  2. Step 2: Convert to fraction form
    12,135/25,306.50 = 25,306.50/x
  3. Step 3: Cross multiply
    12,135x = 25,306.50 × 25,306.50
  4. Step 4: Simplify right side
    12,135x = 640,418,942.25
  5. Step 5: Solve for x
    x = 640,418,942.25/12,135
  6. Step 6: Final answer
    x = 52,774.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.