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Finding the Third Proportional to 1,779.68 and 2,601.07

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Solution

The third proportional to 1,779.68 and 2,601.07 is: 3,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.68 : 2,601.07 = 2,601.07 : x
  2. Step 2: Convert to fraction form
    1,779.68/2,601.07 = 2,601.07/x
  3. Step 3: Cross multiply
    1,779.68x = 2,601.07 × 2,601.07
  4. Step 4: Simplify right side
    1,779.68x = 6,765,566.77
  5. Step 5: Solve for x
    x = 6,765,566.77/1,779.68
  6. Step 6: Final answer
    x = 3,801.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.