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Finding the Third Proportional to 9,021.56 and 12,995.25

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Solution

The third proportional to 9,021.56 and 12,995.25 is: 18,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.56 : 12,995.25 = 12,995.25 : x
  2. Step 2: Convert to fraction form
    9,021.56/12,995.25 = 12,995.25/x
  3. Step 3: Cross multiply
    9,021.56x = 12,995.25 × 12,995.25
  4. Step 4: Simplify right side
    9,021.56x = 168,876,522.56
  5. Step 5: Solve for x
    x = 168,876,522.56/9,021.56
  6. Step 6: Final answer
    x = 18,719.21

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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.