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Finding the Third Proportional to 29,085 and 62,815.50

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Solution

The third proportional to 29,085 and 62,815.50 is: 135,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,085 : 62,815.50 = 62,815.50 : x
  2. Step 2: Convert to fraction form
    29,085/62,815.50 = 62,815.50/x
  3. Step 3: Cross multiply
    29,085x = 62,815.50 × 62,815.50
  4. Step 4: Simplify right side
    29,085x = 3,945,787,040.25
  5. Step 5: Solve for x
    x = 3,945,787,040.25/29,085
  6. Step 6: Final answer
    x = 135,663.99

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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.