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Finding the Third Proportional to 41,749.50 and 64,653

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Solution

The third proportional to 41,749.50 and 64,653 is: 100,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,749.50 : 64,653 = 64,653 : x
  2. Step 2: Convert to fraction form
    41,749.50/64,653 = 64,653/x
  3. Step 3: Cross multiply
    41,749.50x = 64,653 × 64,653
  4. Step 4: Simplify right side
    41,749.50x = 4,180,010,409
  5. Step 5: Solve for x
    x = 4,180,010,409/41,749.50
  6. Step 6: Final answer
    x = 100,121.21

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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.