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Finding the Third Proportional to 9,814.92 and 13,644.07

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Solution

The third proportional to 9,814.92 and 13,644.07 is: 18,967.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.92 : 13,644.07 = 13,644.07 : x
  2. Step 2: Convert to fraction form
    9,814.92/13,644.07 = 13,644.07/x
  3. Step 3: Cross multiply
    9,814.92x = 13,644.07 × 13,644.07
  4. Step 4: Simplify right side
    9,814.92x = 186,160,654.69
  5. Step 5: Solve for x
    x = 186,160,654.69/9,814.92
  6. Step 6: Final answer
    x = 18,967.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.