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Finding the Third Proportional to 18,071 and 39,544

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Solution

The third proportional to 18,071 and 39,544 is: 86,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071 : 39,544 = 39,544 : x
  2. Step 2: Convert to fraction form
    18,071/39,544 = 39,544/x
  3. Step 3: Cross multiply
    18,071x = 39,544 × 39,544
  4. Step 4: Simplify right side
    18,071x = 1,563,727,936
  5. Step 5: Solve for x
    x = 1,563,727,936/18,071
  6. Step 6: Final answer
    x = 86,532.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.