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Finding the Third Proportional to 41,415.75 and 89,389.13

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Solution

The third proportional to 41,415.75 and 89,389.13 is: 192,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415.75 : 89,389.13 = 89,389.13 : x
  2. Step 2: Convert to fraction form
    41,415.75/89,389.13 = 89,389.13/x
  3. Step 3: Cross multiply
    41,415.75x = 89,389.13 × 89,389.13
  4. Step 4: Simplify right side
    41,415.75x = 7,990,415,668.27
  5. Step 5: Solve for x
    x = 7,990,415,668.27/41,415.75
  6. Step 6: Final answer
    x = 192,931.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.