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Finding the Third Proportional to 29,193 and 45,156.75

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Solution

The third proportional to 29,193 and 45,156.75 is: 69,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193 : 45,156.75 = 45,156.75 : x
  2. Step 2: Convert to fraction form
    29,193/45,156.75 = 45,156.75/x
  3. Step 3: Cross multiply
    29,193x = 45,156.75 × 45,156.75
  4. Step 4: Simplify right side
    29,193x = 2,039,132,070.56
  5. Step 5: Solve for x
    x = 2,039,132,070.56/29,193
  6. Step 6: Final answer
    x = 69,850.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.