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Finding the Third Proportional to 6,156.50 and 9,016

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Solution

The third proportional to 6,156.50 and 9,016 is: 13,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.50 : 9,016 = 9,016 : x
  2. Step 2: Convert to fraction form
    6,156.50/9,016 = 9,016/x
  3. Step 3: Cross multiply
    6,156.50x = 9,016 × 9,016
  4. Step 4: Simplify right side
    6,156.50x = 81,288,256
  5. Step 5: Solve for x
    x = 81,288,256/6,156.50
  6. Step 6: Final answer
    x = 13,203.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.