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Finding the Third Proportional to 20,424.23 and 42,719.06

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Solution

The third proportional to 20,424.23 and 42,719.06 is: 89,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.23 : 42,719.06 = 42,719.06 : x
  2. Step 2: Convert to fraction form
    20,424.23/42,719.06 = 42,719.06/x
  3. Step 3: Cross multiply
    20,424.23x = 42,719.06 × 42,719.06
  4. Step 4: Simplify right side
    20,424.23x = 1,824,918,300.88
  5. Step 5: Solve for x
    x = 1,824,918,300.88/20,424.23
  6. Step 6: Final answer
    x = 89,350.63

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.