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Finding the Third Proportional to 29,506.50 and 45,120.38

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Solution

The third proportional to 29,506.50 and 45,120.38 is: 68,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.50 : 45,120.38 = 45,120.38 : x
  2. Step 2: Convert to fraction form
    29,506.50/45,120.38 = 45,120.38/x
  3. Step 3: Cross multiply
    29,506.50x = 45,120.38 × 45,120.38
  4. Step 4: Simplify right side
    29,506.50x = 2,035,848,240.14
  5. Step 5: Solve for x
    x = 2,035,848,240.14/29,506.50
  6. Step 6: Final answer
    x = 68,996.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.