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Finding the Third Proportional to 18,981.84 and 37,913.06

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Solution

The third proportional to 18,981.84 and 37,913.06 is: 75,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,981.84 : 37,913.06 = 37,913.06 : x
  2. Step 2: Convert to fraction form
    18,981.84/37,913.06 = 37,913.06/x
  3. Step 3: Cross multiply
    18,981.84x = 37,913.06 × 37,913.06
  4. Step 4: Simplify right side
    18,981.84x = 1,437,400,308.13
  5. Step 5: Solve for x
    x = 1,437,400,308.13/18,981.84
  6. Step 6: Final answer
    x = 75,725.01

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.