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Finding the Third Proportional to 45,018 and 67,353.75

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Solution

The third proportional to 45,018 and 67,353.75 is: 100,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,018 : 67,353.75 = 67,353.75 : x
  2. Step 2: Convert to fraction form
    45,018/67,353.75 = 67,353.75/x
  3. Step 3: Cross multiply
    45,018x = 67,353.75 × 67,353.75
  4. Step 4: Simplify right side
    45,018x = 4,536,527,639.06
  5. Step 5: Solve for x
    x = 4,536,527,639.06/45,018
  6. Step 6: Final answer
    x = 100,771.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.