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Finding the Third Proportional to 13,125.38 and 19,755.56

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Solution

The third proportional to 13,125.38 and 19,755.56 is: 29,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.38 : 19,755.56 = 19,755.56 : x
  2. Step 2: Convert to fraction form
    13,125.38/19,755.56 = 19,755.56/x
  3. Step 3: Cross multiply
    13,125.38x = 19,755.56 × 19,755.56
  4. Step 4: Simplify right side
    13,125.38x = 390,282,249.69
  5. Step 5: Solve for x
    x = 390,282,249.69/13,125.38
  6. Step 6: Final answer
    x = 29,734.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.