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Finding the Third Proportional to 14,944.50 and 22,388.06

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Solution

The third proportional to 14,944.50 and 22,388.06 is: 33,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.50 : 22,388.06 = 22,388.06 : x
  2. Step 2: Convert to fraction form
    14,944.50/22,388.06 = 22,388.06/x
  3. Step 3: Cross multiply
    14,944.50x = 22,388.06 × 22,388.06
  4. Step 4: Simplify right side
    14,944.50x = 501,225,342.50
  5. Step 5: Solve for x
    x = 501,225,342.50/14,944.50
  6. Step 6: Final answer
    x = 33,539.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.