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Finding the Third Proportional to 19,770.75 and 42,565.50

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Solution

The third proportional to 19,770.75 and 42,565.50 is: 91,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.75 : 42,565.50 = 42,565.50 : x
  2. Step 2: Convert to fraction form
    19,770.75/42,565.50 = 42,565.50/x
  3. Step 3: Cross multiply
    19,770.75x = 42,565.50 × 42,565.50
  4. Step 4: Simplify right side
    19,770.75x = 1,811,821,790.25
  5. Step 5: Solve for x
    x = 1,811,821,790.25/19,770.75
  6. Step 6: Final answer
    x = 91,641.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.