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Finding the Third Proportional to 41,670.75 and 89,857.13

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Solution

The third proportional to 41,670.75 and 89,857.13 is: 193,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670.75 : 89,857.13 = 89,857.13 : x
  2. Step 2: Convert to fraction form
    41,670.75/89,857.13 = 89,857.13/x
  3. Step 3: Cross multiply
    41,670.75x = 89,857.13 × 89,857.13
  4. Step 4: Simplify right side
    41,670.75x = 8,074,302,913.27
  5. Step 5: Solve for x
    x = 8,074,302,913.27/41,670.75
  6. Step 6: Final answer
    x = 193,764.28

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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.