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Finding the Third Proportional to 29,803.50 and 71,167.50

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Solution

The third proportional to 29,803.50 and 71,167.50 is: 169,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803.50 : 71,167.50 = 71,167.50 : x
  2. Step 2: Convert to fraction form
    29,803.50/71,167.50 = 71,167.50/x
  3. Step 3: Cross multiply
    29,803.50x = 71,167.50 × 71,167.50
  4. Step 4: Simplify right side
    29,803.50x = 5,064,813,056.25
  5. Step 5: Solve for x
    x = 5,064,813,056.25/29,803.50
  6. Step 6: Final answer
    x = 169,940.21

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.