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Finding the Third Proportional to 1,265.39 and 2,779.83

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Solution

The third proportional to 1,265.39 and 2,779.83 is: 6,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.39 : 2,779.83 = 2,779.83 : x
  2. Step 2: Convert to fraction form
    1,265.39/2,779.83 = 2,779.83/x
  3. Step 3: Cross multiply
    1,265.39x = 2,779.83 × 2,779.83
  4. Step 4: Simplify right side
    1,265.39x = 7,727,444.40
  5. Step 5: Solve for x
    x = 7,727,444.40/1,265.39
  6. Step 6: Final answer
    x = 6,106.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.