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Finding the Third Proportional to 9,196.31 and 14,571.84

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Solution

The third proportional to 9,196.31 and 14,571.84 is: 23,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.31 : 14,571.84 = 14,571.84 : x
  2. Step 2: Convert to fraction form
    9,196.31/14,571.84 = 14,571.84/x
  3. Step 3: Cross multiply
    9,196.31x = 14,571.84 × 14,571.84
  4. Step 4: Simplify right side
    9,196.31x = 212,338,630.27
  5. Step 5: Solve for x
    x = 212,338,630.27/9,196.31
  6. Step 6: Final answer
    x = 23,089.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.