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Finding the Third Proportional to 1,278.60 and 1,981.02

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Solution

The third proportional to 1,278.60 and 1,981.02 is: 3,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.60 : 1,981.02 = 1,981.02 : x
  2. Step 2: Convert to fraction form
    1,278.60/1,981.02 = 1,981.02/x
  3. Step 3: Cross multiply
    1,278.60x = 1,981.02 × 1,981.02
  4. Step 4: Simplify right side
    1,278.60x = 3,924,438.38
  5. Step 5: Solve for x
    x = 3,924,438.38/1,278.60
  6. Step 6: Final answer
    x = 3,069.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.