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Finding the Third Proportional to 36,221 and 53,283

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Solution

The third proportional to 36,221 and 53,283 is: 78,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,221 : 53,283 = 53,283 : x
  2. Step 2: Convert to fraction form
    36,221/53,283 = 53,283/x
  3. Step 3: Cross multiply
    36,221x = 53,283 × 53,283
  4. Step 4: Simplify right side
    36,221x = 2,839,078,089
  5. Step 5: Solve for x
    x = 2,839,078,089/36,221
  6. Step 6: Final answer
    x = 78,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.