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Finding the Third Proportional to 5,599 and 11,557

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Solution

The third proportional to 5,599 and 11,557 is: 23,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599 : 11,557 = 11,557 : x
  2. Step 2: Convert to fraction form
    5,599/11,557 = 11,557/x
  3. Step 3: Cross multiply
    5,599x = 11,557 × 11,557
  4. Step 4: Simplify right side
    5,599x = 133,564,249
  5. Step 5: Solve for x
    x = 133,564,249/5,599
  6. Step 6: Final answer
    x = 23,855.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.