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Finding the Third Proportional to 24,509.78 and 34,513.59

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Solution

The third proportional to 24,509.78 and 34,513.59 is: 48,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.78 : 34,513.59 = 34,513.59 : x
  2. Step 2: Convert to fraction form
    24,509.78/34,513.59 = 34,513.59/x
  3. Step 3: Cross multiply
    24,509.78x = 34,513.59 × 34,513.59
  4. Step 4: Simplify right side
    24,509.78x = 1,191,188,153.54
  5. Step 5: Solve for x
    x = 1,191,188,153.54/24,509.78
  6. Step 6: Final answer
    x = 48,600.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.