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Finding the Third Proportional to 9,196.44 and 14,572.03

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Solution

The third proportional to 9,196.44 and 14,572.03 is: 23,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.44 : 14,572.03 = 14,572.03 : x
  2. Step 2: Convert to fraction form
    9,196.44/14,572.03 = 14,572.03/x
  3. Step 3: Cross multiply
    9,196.44x = 14,572.03 × 14,572.03
  4. Step 4: Simplify right side
    9,196.44x = 212,344,094.75
  5. Step 5: Solve for x
    x = 212,344,094.75/9,196.44
  6. Step 6: Final answer
    x = 23,089.82

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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.