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Finding the Third Proportional to 29,101.50 and 33,754.50

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Solution

The third proportional to 29,101.50 and 33,754.50 is: 39,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101.50 : 33,754.50 = 33,754.50 : x
  2. Step 2: Convert to fraction form
    29,101.50/33,754.50 = 33,754.50/x
  3. Step 3: Cross multiply
    29,101.50x = 33,754.50 × 33,754.50
  4. Step 4: Simplify right side
    29,101.50x = 1,139,366,270.25
  5. Step 5: Solve for x
    x = 1,139,366,270.25/29,101.50
  6. Step 6: Final answer
    x = 39,151.46

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.