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Finding the Third Proportional to 16,846 and 26,347.50

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Solution

The third proportional to 16,846 and 26,347.50 is: 41,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846 : 26,347.50 = 26,347.50 : x
  2. Step 2: Convert to fraction form
    16,846/26,347.50 = 26,347.50/x
  3. Step 3: Cross multiply
    16,846x = 26,347.50 × 26,347.50
  4. Step 4: Simplify right side
    16,846x = 694,190,756.25
  5. Step 5: Solve for x
    x = 694,190,756.25/16,846
  6. Step 6: Final answer
    x = 41,208.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.