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Finding the Third Proportional to 43,664 and 94,283

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Solution

The third proportional to 43,664 and 94,283 is: 203,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664 : 94,283 = 94,283 : x
  2. Step 2: Convert to fraction form
    43,664/94,283 = 94,283/x
  3. Step 3: Cross multiply
    43,664x = 94,283 × 94,283
  4. Step 4: Simplify right side
    43,664x = 8,889,284,089
  5. Step 5: Solve for x
    x = 8,889,284,089/43,664
  6. Step 6: Final answer
    x = 203,583.82

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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.