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Finding the Third Proportional to 7,333 and 14,301.50

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Solution

The third proportional to 7,333 and 14,301.50 is: 27,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333 : 14,301.50 = 14,301.50 : x
  2. Step 2: Convert to fraction form
    7,333/14,301.50 = 14,301.50/x
  3. Step 3: Cross multiply
    7,333x = 14,301.50 × 14,301.50
  4. Step 4: Simplify right side
    7,333x = 204,532,902.25
  5. Step 5: Solve for x
    x = 204,532,902.25/7,333
  6. Step 6: Final answer
    x = 27,892.12

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.