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Finding the Third Proportional to 13,599 and 29,874.38

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Solution

The third proportional to 13,599 and 29,874.38 is: 65,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 29,874.38 = 29,874.38 : x
  2. Step 2: Convert to fraction form
    13,599/29,874.38 = 29,874.38/x
  3. Step 3: Cross multiply
    13,599x = 29,874.38 × 29,874.38
  4. Step 4: Simplify right side
    13,599x = 892,478,281.64
  5. Step 5: Solve for x
    x = 892,478,281.64/13,599
  6. Step 6: Final answer
    x = 65,628.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.