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Finding the Third Proportional to 29,173.50 and 38,428.50

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Solution

The third proportional to 29,173.50 and 38,428.50 is: 50,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,173.50 : 38,428.50 = 38,428.50 : x
  2. Step 2: Convert to fraction form
    29,173.50/38,428.50 = 38,428.50/x
  3. Step 3: Cross multiply
    29,173.50x = 38,428.50 × 38,428.50
  4. Step 4: Simplify right side
    29,173.50x = 1,476,749,612.25
  5. Step 5: Solve for x
    x = 1,476,749,612.25/29,173.50
  6. Step 6: Final answer
    x = 50,619.56

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.