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Finding the Third Proportional to 16,538.06 and 24,960.94

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Solution

The third proportional to 16,538.06 and 24,960.94 is: 37,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.06 : 24,960.94 = 24,960.94 : x
  2. Step 2: Convert to fraction form
    16,538.06/24,960.94 = 24,960.94/x
  3. Step 3: Cross multiply
    16,538.06x = 24,960.94 × 24,960.94
  4. Step 4: Simplify right side
    16,538.06x = 623,048,400.88
  5. Step 5: Solve for x
    x = 623,048,400.88/16,538.06
  6. Step 6: Final answer
    x = 37,673.60

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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.