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Finding the Third Proportional to 11,164.13 and 15,378.94

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Solution

The third proportional to 11,164.13 and 15,378.94 is: 21,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.13 : 15,378.94 = 15,378.94 : x
  2. Step 2: Convert to fraction form
    11,164.13/15,378.94 = 15,378.94/x
  3. Step 3: Cross multiply
    11,164.13x = 15,378.94 × 15,378.94
  4. Step 4: Simplify right side
    11,164.13x = 236,511,718.63
  5. Step 5: Solve for x
    x = 236,511,718.63/11,164.13
  6. Step 6: Final answer
    x = 21,184.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.