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Finding the Third Proportional to 5,073 and 10,933.50

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Solution

The third proportional to 5,073 and 10,933.50 is: 23,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073 : 10,933.50 = 10,933.50 : x
  2. Step 2: Convert to fraction form
    5,073/10,933.50 = 10,933.50/x
  3. Step 3: Cross multiply
    5,073x = 10,933.50 × 10,933.50
  4. Step 4: Simplify right side
    5,073x = 119,541,422.25
  5. Step 5: Solve for x
    x = 119,541,422.25/5,073
  6. Step 6: Final answer
    x = 23,564.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.