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Finding the Third Proportional to 16,716 and 26,458.50

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Solution

The third proportional to 16,716 and 26,458.50 is: 41,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716 : 26,458.50 = 26,458.50 : x
  2. Step 2: Convert to fraction form
    16,716/26,458.50 = 26,458.50/x
  3. Step 3: Cross multiply
    16,716x = 26,458.50 × 26,458.50
  4. Step 4: Simplify right side
    16,716x = 700,052,222.25
  5. Step 5: Solve for x
    x = 700,052,222.25/16,716
  6. Step 6: Final answer
    x = 41,879.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.