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Finding the Third Proportional to 2,314 and 3,586

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Solution

The third proportional to 2,314 and 3,586 is: 5,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 3,586 = 3,586 : x
  2. Step 2: Convert to fraction form
    2,314/3,586 = 3,586/x
  3. Step 3: Cross multiply
    2,314x = 3,586 × 3,586
  4. Step 4: Simplify right side
    2,314x = 12,859,396
  5. Step 5: Solve for x
    x = 12,859,396/2,314
  6. Step 6: Final answer
    x = 5,557.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.