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Finding the Third Proportional to 7,116.75 and 14,233.50

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Solution

The third proportional to 7,116.75 and 14,233.50 is: 28,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.75 : 14,233.50 = 14,233.50 : x
  2. Step 2: Convert to fraction form
    7,116.75/14,233.50 = 14,233.50/x
  3. Step 3: Cross multiply
    7,116.75x = 14,233.50 × 14,233.50
  4. Step 4: Simplify right side
    7,116.75x = 202,592,522.25
  5. Step 5: Solve for x
    x = 202,592,522.25/7,116.75
  6. Step 6: Final answer
    x = 28,467

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These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.