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Finding the Third Proportional to 9,190 and 13,127

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Solution

The third proportional to 9,190 and 13,127 is: 18,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190 : 13,127 = 13,127 : x
  2. Step 2: Convert to fraction form
    9,190/13,127 = 13,127/x
  3. Step 3: Cross multiply
    9,190x = 13,127 × 13,127
  4. Step 4: Simplify right side
    9,190x = 172,318,129
  5. Step 5: Solve for x
    x = 172,318,129/9,190
  6. Step 6: Final answer
    x = 18,750.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.