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Finding the Third Proportional to 7,226 and 13,588

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Solution

The third proportional to 7,226 and 13,588 is: 25,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226 : 13,588 = 13,588 : x
  2. Step 2: Convert to fraction form
    7,226/13,588 = 13,588/x
  3. Step 3: Cross multiply
    7,226x = 13,588 × 13,588
  4. Step 4: Simplify right side
    7,226x = 184,633,744
  5. Step 5: Solve for x
    x = 184,633,744/7,226
  6. Step 6: Final answer
    x = 25,551.31

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.