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Finding the Third Proportional to 9,795.30 and 14,936.27

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Solution

The third proportional to 9,795.30 and 14,936.27 is: 22,775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.30 : 14,936.27 = 14,936.27 : x
  2. Step 2: Convert to fraction form
    9,795.30/14,936.27 = 14,936.27/x
  3. Step 3: Cross multiply
    9,795.30x = 14,936.27 × 14,936.27
  4. Step 4: Simplify right side
    9,795.30x = 223,092,264.20
  5. Step 5: Solve for x
    x = 223,092,264.20/9,795.30
  6. Step 6: Final answer
    x = 22,775.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.