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Finding the Third Proportional to 2,068.56 and 2,893.59

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Solution

The third proportional to 2,068.56 and 2,893.59 is: 4,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.56 : 2,893.59 = 2,893.59 : x
  2. Step 2: Convert to fraction form
    2,068.56/2,893.59 = 2,893.59/x
  3. Step 3: Cross multiply
    2,068.56x = 2,893.59 × 2,893.59
  4. Step 4: Simplify right side
    2,068.56x = 8,372,884.79
  5. Step 5: Solve for x
    x = 8,372,884.79/2,068.56
  6. Step 6: Final answer
    x = 4,047.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.