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Finding the Third Proportional to 12,586.50 and 18,586

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Solution

The third proportional to 12,586.50 and 18,586 is: 27,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.50 : 18,586 = 18,586 : x
  2. Step 2: Convert to fraction form
    12,586.50/18,586 = 18,586/x
  3. Step 3: Cross multiply
    12,586.50x = 18,586 × 18,586
  4. Step 4: Simplify right side
    12,586.50x = 345,439,396
  5. Step 5: Solve for x
    x = 345,439,396/12,586.50
  6. Step 6: Final answer
    x = 27,445.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.