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Finding the Third Proportional to 45,690 and 71,690

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Solution

The third proportional to 45,690 and 71,690 is: 112,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,690 : 71,690 = 71,690 : x
  2. Step 2: Convert to fraction form
    45,690/71,690 = 71,690/x
  3. Step 3: Cross multiply
    45,690x = 71,690 × 71,690
  4. Step 4: Simplify right side
    45,690x = 5,139,456,100
  5. Step 5: Solve for x
    x = 5,139,456,100/45,690
  6. Step 6: Final answer
    x = 112,485.36

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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.