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Finding the Third Proportional to 19,616.06 and 42,491.81

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Solution

The third proportional to 19,616.06 and 42,491.81 is: 92,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.06 : 42,491.81 = 42,491.81 : x
  2. Step 2: Convert to fraction form
    19,616.06/42,491.81 = 42,491.81/x
  3. Step 3: Cross multiply
    19,616.06x = 42,491.81 × 42,491.81
  4. Step 4: Simplify right side
    19,616.06x = 1,805,554,129.54
  5. Step 5: Solve for x
    x = 1,805,554,129.54/19,616.06
  6. Step 6: Final answer
    x = 92,044.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.