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Finding the Third Proportional to 18,541 and 39,970

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Solution

The third proportional to 18,541 and 39,970 is: 86,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,541 : 39,970 = 39,970 : x
  2. Step 2: Convert to fraction form
    18,541/39,970 = 39,970/x
  3. Step 3: Cross multiply
    18,541x = 39,970 × 39,970
  4. Step 4: Simplify right side
    18,541x = 1,597,600,900
  5. Step 5: Solve for x
    x = 1,597,600,900/18,541
  6. Step 6: Final answer
    x = 86,165.84

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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.