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Finding the Third Proportional to 19,701.56 and 42,171.05

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Solution

The third proportional to 19,701.56 and 42,171.05 is: 90,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.56 : 42,171.05 = 42,171.05 : x
  2. Step 2: Convert to fraction form
    19,701.56/42,171.05 = 42,171.05/x
  3. Step 3: Cross multiply
    19,701.56x = 42,171.05 × 42,171.05
  4. Step 4: Simplify right side
    19,701.56x = 1,778,397,194.53
  5. Step 5: Solve for x
    x = 1,778,397,194.53/19,701.56
  6. Step 6: Final answer
    x = 90,266.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.