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Finding the Third Proportional to 9,050 and 13,238

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Solution

The third proportional to 9,050 and 13,238 is: 19,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050 : 13,238 = 13,238 : x
  2. Step 2: Convert to fraction form
    9,050/13,238 = 13,238/x
  3. Step 3: Cross multiply
    9,050x = 13,238 × 13,238
  4. Step 4: Simplify right side
    9,050x = 175,244,644
  5. Step 5: Solve for x
    x = 175,244,644/9,050
  6. Step 6: Final answer
    x = 19,364.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.