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Finding the Third Proportional to 18,522 and 39,939.75

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Solution

The third proportional to 18,522 and 39,939.75 is: 86,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 39,939.75 = 39,939.75 : x
  2. Step 2: Convert to fraction form
    18,522/39,939.75 = 39,939.75/x
  3. Step 3: Cross multiply
    18,522x = 39,939.75 × 39,939.75
  4. Step 4: Simplify right side
    18,522x = 1,595,183,630.06
  5. Step 5: Solve for x
    x = 1,595,183,630.06/18,522
  6. Step 6: Final answer
    x = 86,123.72

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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.