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Finding the Third Proportional to 13,182 and 14,586

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Solution

The third proportional to 13,182 and 14,586 is: 16,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182 : 14,586 = 14,586 : x
  2. Step 2: Convert to fraction form
    13,182/14,586 = 14,586/x
  3. Step 3: Cross multiply
    13,182x = 14,586 × 14,586
  4. Step 4: Simplify right side
    13,182x = 212,751,396
  5. Step 5: Solve for x
    x = 212,751,396/13,182
  6. Step 6: Final answer
    x = 16,139.54

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.