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Finding the Third Proportional to 19,324 and 40,084

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Solution

The third proportional to 19,324 and 40,084 is: 83,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324 : 40,084 = 40,084 : x
  2. Step 2: Convert to fraction form
    19,324/40,084 = 40,084/x
  3. Step 3: Cross multiply
    19,324x = 40,084 × 40,084
  4. Step 4: Simplify right side
    19,324x = 1,606,727,056
  5. Step 5: Solve for x
    x = 1,606,727,056/19,324
  6. Step 6: Final answer
    x = 83,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.