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Finding the Third Proportional to 11,855.95 and 15,858.49

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Solution

The third proportional to 11,855.95 and 15,858.49 is: 21,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.95 : 15,858.49 = 15,858.49 : x
  2. Step 2: Convert to fraction form
    11,855.95/15,858.49 = 15,858.49/x
  3. Step 3: Cross multiply
    11,855.95x = 15,858.49 × 15,858.49
  4. Step 4: Simplify right side
    11,855.95x = 251,491,774.46
  5. Step 5: Solve for x
    x = 251,491,774.46/11,855.95
  6. Step 6: Final answer
    x = 21,212.28

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.