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Finding the Third Proportional to 18,922 and 40,532

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Solution

The third proportional to 18,922 and 40,532 is: 86,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922 : 40,532 = 40,532 : x
  2. Step 2: Convert to fraction form
    18,922/40,532 = 40,532/x
  3. Step 3: Cross multiply
    18,922x = 40,532 × 40,532
  4. Step 4: Simplify right side
    18,922x = 1,642,843,024
  5. Step 5: Solve for x
    x = 1,642,843,024/18,922
  6. Step 6: Final answer
    x = 86,821.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.