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Finding the Third Proportional to 19,084 and 40,989

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Solution

The third proportional to 19,084 and 40,989 is: 88,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,084 : 40,989 = 40,989 : x
  2. Step 2: Convert to fraction form
    19,084/40,989 = 40,989/x
  3. Step 3: Cross multiply
    19,084x = 40,989 × 40,989
  4. Step 4: Simplify right side
    19,084x = 1,680,098,121
  5. Step 5: Solve for x
    x = 1,680,098,121/19,084
  6. Step 6: Final answer
    x = 88,037.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.