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Finding the Third Proportional to 45,670.50 and 71,661

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Solution

The third proportional to 45,670.50 and 71,661 is: 112,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,670.50 : 71,661 = 71,661 : x
  2. Step 2: Convert to fraction form
    45,670.50/71,661 = 71,661/x
  3. Step 3: Cross multiply
    45,670.50x = 71,661 × 71,661
  4. Step 4: Simplify right side
    45,670.50x = 5,135,298,921
  5. Step 5: Solve for x
    x = 5,135,298,921/45,670.50
  6. Step 6: Final answer
    x = 112,442.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.