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Finding the Third Proportional to 16,652 and 35,672.50

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Solution

The third proportional to 16,652 and 35,672.50 is: 76,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652 : 35,672.50 = 35,672.50 : x
  2. Step 2: Convert to fraction form
    16,652/35,672.50 = 35,672.50/x
  3. Step 3: Cross multiply
    16,652x = 35,672.50 × 35,672.50
  4. Step 4: Simplify right side
    16,652x = 1,272,527,256.25
  5. Step 5: Solve for x
    x = 1,272,527,256.25/16,652
  6. Step 6: Final answer
    x = 76,418.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.