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Finding the Third Proportional to 1,283.06 and 1,978.88

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Solution

The third proportional to 1,283.06 and 1,978.88 is: 3,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.06 : 1,978.88 = 1,978.88 : x
  2. Step 2: Convert to fraction form
    1,283.06/1,978.88 = 1,978.88/x
  3. Step 3: Cross multiply
    1,283.06x = 1,978.88 × 1,978.88
  4. Step 4: Simplify right side
    1,283.06x = 3,915,946.27
  5. Step 5: Solve for x
    x = 3,915,946.27/1,283.06
  6. Step 6: Final answer
    x = 3,052.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.