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Finding the Third Proportional to 11,100.38 and 15,962.06

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Solution

The third proportional to 11,100.38 and 15,962.06 is: 22,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100.38 : 15,962.06 = 15,962.06 : x
  2. Step 2: Convert to fraction form
    11,100.38/15,962.06 = 15,962.06/x
  3. Step 3: Cross multiply
    11,100.38x = 15,962.06 × 15,962.06
  4. Step 4: Simplify right side
    11,100.38x = 254,787,439.25
  5. Step 5: Solve for x
    x = 254,787,439.25/11,100.38
  6. Step 6: Final answer
    x = 22,953.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.