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Finding the Third Proportional to 16,456.50 and 24,828.19

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Solution

The third proportional to 16,456.50 and 24,828.19 is: 37,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.50 : 24,828.19 = 24,828.19 : x
  2. Step 2: Convert to fraction form
    16,456.50/24,828.19 = 24,828.19/x
  3. Step 3: Cross multiply
    16,456.50x = 24,828.19 × 24,828.19
  4. Step 4: Simplify right side
    16,456.50x = 616,438,894.54
  5. Step 5: Solve for x
    x = 616,438,894.54/16,456.50
  6. Step 6: Final answer
    x = 37,458.69

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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.