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Finding the Third Proportional to 19,505.81 and 42,816.38

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Solution

The third proportional to 19,505.81 and 42,816.38 is: 93,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.81 : 42,816.38 = 42,816.38 : x
  2. Step 2: Convert to fraction form
    19,505.81/42,816.38 = 42,816.38/x
  3. Step 3: Cross multiply
    19,505.81x = 42,816.38 × 42,816.38
  4. Step 4: Simplify right side
    19,505.81x = 1,833,241,968.14
  5. Step 5: Solve for x
    x = 1,833,241,968.14/19,505.81
  6. Step 6: Final answer
    x = 93,984.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.