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Finding the Third Proportional to 16,437.50 and 26,838

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Solution

The third proportional to 16,437.50 and 26,838 is: 43,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.50 : 26,838 = 26,838 : x
  2. Step 2: Convert to fraction form
    16,437.50/26,838 = 26,838/x
  3. Step 3: Cross multiply
    16,437.50x = 26,838 × 26,838
  4. Step 4: Simplify right side
    16,437.50x = 720,278,244
  5. Step 5: Solve for x
    x = 720,278,244/16,437.50
  6. Step 6: Final answer
    x = 43,819.21

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.