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Finding the Third Proportional to 19,635.86 and 42,385.15

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Solution

The third proportional to 19,635.86 and 42,385.15 is: 91,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.86 : 42,385.15 = 42,385.15 : x
  2. Step 2: Convert to fraction form
    19,635.86/42,385.15 = 42,385.15/x
  3. Step 3: Cross multiply
    19,635.86x = 42,385.15 × 42,385.15
  4. Step 4: Simplify right side
    19,635.86x = 1,796,500,808.07
  5. Step 5: Solve for x
    x = 1,796,500,808.07/19,635.86
  6. Step 6: Final answer
    x = 91,490.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.