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Finding the Third Proportional to 5,599.13 and 12,965.06

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Solution

The third proportional to 5,599.13 and 12,965.06 is: 30,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.13 : 12,965.06 = 12,965.06 : x
  2. Step 2: Convert to fraction form
    5,599.13/12,965.06 = 12,965.06/x
  3. Step 3: Cross multiply
    5,599.13x = 12,965.06 × 12,965.06
  4. Step 4: Simplify right side
    5,599.13x = 168,092,845.63
  5. Step 5: Solve for x
    x = 168,092,845.63/5,599.13
  6. Step 6: Final answer
    x = 30,021.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.