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Finding the Third Proportional to 19,237.50 and 41,212.13

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Solution

The third proportional to 19,237.50 and 41,212.13 is: 88,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237.50 : 41,212.13 = 41,212.13 : x
  2. Step 2: Convert to fraction form
    19,237.50/41,212.13 = 41,212.13/x
  3. Step 3: Cross multiply
    19,237.50x = 41,212.13 × 41,212.13
  4. Step 4: Simplify right side
    19,237.50x = 1,698,439,247.02
  5. Step 5: Solve for x
    x = 1,698,439,247.02/19,237.50
  6. Step 6: Final answer
    x = 88,287.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.