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Finding the Third Proportional to 36,588 and 86,283

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Solution

The third proportional to 36,588 and 86,283 is: 203,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588 : 86,283 = 86,283 : x
  2. Step 2: Convert to fraction form
    36,588/86,283 = 86,283/x
  3. Step 3: Cross multiply
    36,588x = 86,283 × 86,283
  4. Step 4: Simplify right side
    36,588x = 7,444,756,089
  5. Step 5: Solve for x
    x = 7,444,756,089/36,588
  6. Step 6: Final answer
    x = 203,475.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.