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Finding the Third Proportional to 64,583 and 86,790

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Solution

The third proportional to 64,583 and 86,790 is: 116,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,583 : 86,790 = 86,790 : x
  2. Step 2: Convert to fraction form
    64,583/86,790 = 86,790/x
  3. Step 3: Cross multiply
    64,583x = 86,790 × 86,790
  4. Step 4: Simplify right side
    64,583x = 7,532,504,100
  5. Step 5: Solve for x
    x = 7,532,504,100/64,583
  6. Step 6: Final answer
    x = 116,632.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.