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Finding the Third Proportional to 16,375.50 and 24,701.63

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Solution

The third proportional to 16,375.50 and 24,701.63 is: 37,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.50 : 24,701.63 = 24,701.63 : x
  2. Step 2: Convert to fraction form
    16,375.50/24,701.63 = 24,701.63/x
  3. Step 3: Cross multiply
    16,375.50x = 24,701.63 × 24,701.63
  4. Step 4: Simplify right side
    16,375.50x = 610,170,277.64
  5. Step 5: Solve for x
    x = 610,170,277.64/16,375.50
  6. Step 6: Final answer
    x = 37,261.17

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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.