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Finding the Third Proportional to 6,123 and 9,045

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Solution

The third proportional to 6,123 and 9,045 is: 13,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 9,045 = 9,045 : x
  2. Step 2: Convert to fraction form
    6,123/9,045 = 9,045/x
  3. Step 3: Cross multiply
    6,123x = 9,045 × 9,045
  4. Step 4: Simplify right side
    6,123x = 81,812,025
  5. Step 5: Solve for x
    x = 81,812,025/6,123
  6. Step 6: Final answer
    x = 13,361.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.