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Finding the Third Proportional to 9,913 and 13,593

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Solution

The third proportional to 9,913 and 13,593 is: 18,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913 : 13,593 = 13,593 : x
  2. Step 2: Convert to fraction form
    9,913/13,593 = 13,593/x
  3. Step 3: Cross multiply
    9,913x = 13,593 × 13,593
  4. Step 4: Simplify right side
    9,913x = 184,769,649
  5. Step 5: Solve for x
    x = 184,769,649/9,913
  6. Step 6: Final answer
    x = 18,639.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.