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Finding the Third Proportional to 1,779.79 and 2,654.96

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Solution

The third proportional to 1,779.79 and 2,654.96 is: 3,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.79 : 2,654.96 = 2,654.96 : x
  2. Step 2: Convert to fraction form
    1,779.79/2,654.96 = 2,654.96/x
  3. Step 3: Cross multiply
    1,779.79x = 2,654.96 × 2,654.96
  4. Step 4: Simplify right side
    1,779.79x = 7,048,838.32
  5. Step 5: Solve for x
    x = 7,048,838.32/1,779.79
  6. Step 6: Final answer
    x = 3,960.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.