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Finding the Third Proportional to 24,142.75 and 50,491.50

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Solution

The third proportional to 24,142.75 and 50,491.50 is: 105,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.75 : 50,491.50 = 50,491.50 : x
  2. Step 2: Convert to fraction form
    24,142.75/50,491.50 = 50,491.50/x
  3. Step 3: Cross multiply
    24,142.75x = 50,491.50 × 50,491.50
  4. Step 4: Simplify right side
    24,142.75x = 2,549,391,572.25
  5. Step 5: Solve for x
    x = 2,549,391,572.25/24,142.75
  6. Step 6: Final answer
    x = 105,596.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.