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Finding the Third Proportional to 41,641.50 and 89,232

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Solution

The third proportional to 41,641.50 and 89,232 is: 191,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,641.50 : 89,232 = 89,232 : x
  2. Step 2: Convert to fraction form
    41,641.50/89,232 = 89,232/x
  3. Step 3: Cross multiply
    41,641.50x = 89,232 × 89,232
  4. Step 4: Simplify right side
    41,641.50x = 7,962,349,824
  5. Step 5: Solve for x
    x = 7,962,349,824/41,641.50
  6. Step 6: Final answer
    x = 191,211.89

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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.