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Finding the Third Proportional to 19,303.69 and 42,297.94

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Solution

The third proportional to 19,303.69 and 42,297.94 is: 92,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,303.69 : 42,297.94 = 42,297.94 : x
  2. Step 2: Convert to fraction form
    19,303.69/42,297.94 = 42,297.94/x
  3. Step 3: Cross multiply
    19,303.69x = 42,297.94 × 42,297.94
  4. Step 4: Simplify right side
    19,303.69x = 1,789,115,516.75
  5. Step 5: Solve for x
    x = 1,789,115,516.75/19,303.69
  6. Step 6: Final answer
    x = 92,682.58

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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.