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Finding the Third Proportional to 9,536 and 14,586

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Solution

The third proportional to 9,536 and 14,586 is: 22,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536 : 14,586 = 14,586 : x
  2. Step 2: Convert to fraction form
    9,536/14,586 = 14,586/x
  3. Step 3: Cross multiply
    9,536x = 14,586 × 14,586
  4. Step 4: Simplify right side
    9,536x = 212,751,396
  5. Step 5: Solve for x
    x = 212,751,396/9,536
  6. Step 6: Final answer
    x = 22,310.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.