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Finding the Third Proportional to 9,253.25 and 14,110.25

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Solution

The third proportional to 9,253.25 and 14,110.25 is: 21,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.25 : 14,110.25 = 14,110.25 : x
  2. Step 2: Convert to fraction form
    9,253.25/14,110.25 = 14,110.25/x
  3. Step 3: Cross multiply
    9,253.25x = 14,110.25 × 14,110.25
  4. Step 4: Simplify right side
    9,253.25x = 199,099,155.06
  5. Step 5: Solve for x
    x = 199,099,155.06/9,253.25
  6. Step 6: Final answer
    x = 21,516.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.