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Finding the Third Proportional to 19,701.75 and 42,680.25

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Solution

The third proportional to 19,701.75 and 42,680.25 is: 92,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.75 : 42,680.25 = 42,680.25 : x
  2. Step 2: Convert to fraction form
    19,701.75/42,680.25 = 42,680.25/x
  3. Step 3: Cross multiply
    19,701.75x = 42,680.25 × 42,680.25
  4. Step 4: Simplify right side
    19,701.75x = 1,821,603,740.06
  5. Step 5: Solve for x
    x = 1,821,603,740.06/19,701.75
  6. Step 6: Final answer
    x = 92,458.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.