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Finding the Third Proportional to 9,013.78 and 14,162.34

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Solution

The third proportional to 9,013.78 and 14,162.34 is: 22,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.78 : 14,162.34 = 14,162.34 : x
  2. Step 2: Convert to fraction form
    9,013.78/14,162.34 = 14,162.34/x
  3. Step 3: Cross multiply
    9,013.78x = 14,162.34 × 14,162.34
  4. Step 4: Simplify right side
    9,013.78x = 200,571,980.49
  5. Step 5: Solve for x
    x = 200,571,980.49/9,013.78
  6. Step 6: Final answer
    x = 22,251.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.