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Finding the Third Proportional to 5,252 and 10,586

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Solution

The third proportional to 5,252 and 10,586 is: 21,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252 : 10,586 = 10,586 : x
  2. Step 2: Convert to fraction form
    5,252/10,586 = 10,586/x
  3. Step 3: Cross multiply
    5,252x = 10,586 × 10,586
  4. Step 4: Simplify right side
    5,252x = 112,063,396
  5. Step 5: Solve for x
    x = 112,063,396/5,252
  6. Step 6: Final answer
    x = 21,337.28

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.