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Finding the Third Proportional to 9,586.13 and 14,682.38

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Solution

The third proportional to 9,586.13 and 14,682.38 is: 22,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.13 : 14,682.38 = 14,682.38 : x
  2. Step 2: Convert to fraction form
    9,586.13/14,682.38 = 14,682.38/x
  3. Step 3: Cross multiply
    9,586.13x = 14,682.38 × 14,682.38
  4. Step 4: Simplify right side
    9,586.13x = 215,572,135.64
  5. Step 5: Solve for x
    x = 215,572,135.64/9,586.13
  6. Step 6: Final answer
    x = 22,487.93

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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.