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Finding the Third Proportional to 7,333.50 and 12,957

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Solution

The third proportional to 7,333.50 and 12,957 is: 22,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333.50 : 12,957 = 12,957 : x
  2. Step 2: Convert to fraction form
    7,333.50/12,957 = 12,957/x
  3. Step 3: Cross multiply
    7,333.50x = 12,957 × 12,957
  4. Step 4: Simplify right side
    7,333.50x = 167,883,849
  5. Step 5: Solve for x
    x = 167,883,849/7,333.50
  6. Step 6: Final answer
    x = 22,892.73

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.