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Finding the Third Proportional to 19,697.77 and 42,163.45

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Solution

The third proportional to 19,697.77 and 42,163.45 is: 90,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.77 : 42,163.45 = 42,163.45 : x
  2. Step 2: Convert to fraction form
    19,697.77/42,163.45 = 42,163.45/x
  3. Step 3: Cross multiply
    19,697.77x = 42,163.45 × 42,163.45
  4. Step 4: Simplify right side
    19,697.77x = 1,777,756,779.42
  5. Step 5: Solve for x
    x = 1,777,756,779.42/19,697.77
  6. Step 6: Final answer
    x = 90,251.70

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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.