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Finding the Third Proportional to 19,304.25 and 42,299.06

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Solution

The third proportional to 19,304.25 and 42,299.06 is: 92,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,304.25 : 42,299.06 = 42,299.06 : x
  2. Step 2: Convert to fraction form
    19,304.25/42,299.06 = 42,299.06/x
  3. Step 3: Cross multiply
    19,304.25x = 42,299.06 × 42,299.06
  4. Step 4: Simplify right side
    19,304.25x = 1,789,210,688.38
  5. Step 5: Solve for x
    x = 1,789,210,688.38/19,304.25
  6. Step 6: Final answer
    x = 92,684.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.