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Finding the Third Proportional to 6,123 and 9,180

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Solution

The third proportional to 6,123 and 9,180 is: 13,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 9,180 = 9,180 : x
  2. Step 2: Convert to fraction form
    6,123/9,180 = 9,180/x
  3. Step 3: Cross multiply
    6,123x = 9,180 × 9,180
  4. Step 4: Simplify right side
    6,123x = 84,272,400
  5. Step 5: Solve for x
    x = 84,272,400/6,123
  6. Step 6: Final answer
    x = 13,763.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.