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Finding the Third Proportional to 29,872.13 and 45,852.75

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Solution

The third proportional to 29,872.13 and 45,852.75 is: 70,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872.13 : 45,852.75 = 45,852.75 : x
  2. Step 2: Convert to fraction form
    29,872.13/45,852.75 = 45,852.75/x
  3. Step 3: Cross multiply
    29,872.13x = 45,852.75 × 45,852.75
  4. Step 4: Simplify right side
    29,872.13x = 2,102,474,682.56
  5. Step 5: Solve for x
    x = 2,102,474,682.56/29,872.13
  6. Step 6: Final answer
    x = 70,382.49

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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.