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Finding the Third Proportional to 13,347 and 18,045

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Solution

The third proportional to 13,347 and 18,045 is: 24,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347 : 18,045 = 18,045 : x
  2. Step 2: Convert to fraction form
    13,347/18,045 = 18,045/x
  3. Step 3: Cross multiply
    13,347x = 18,045 × 18,045
  4. Step 4: Simplify right side
    13,347x = 325,622,025
  5. Step 5: Solve for x
    x = 325,622,025/13,347
  6. Step 6: Final answer
    x = 24,396.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.