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Finding the Third Proportional to 16,128.75 and 34,215

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Solution

The third proportional to 16,128.75 and 34,215 is: 72,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.75 : 34,215 = 34,215 : x
  2. Step 2: Convert to fraction form
    16,128.75/34,215 = 34,215/x
  3. Step 3: Cross multiply
    16,128.75x = 34,215 × 34,215
  4. Step 4: Simplify right side
    16,128.75x = 1,170,666,225
  5. Step 5: Solve for x
    x = 1,170,666,225/16,128.75
  6. Step 6: Final answer
    x = 72,582.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.