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Finding the Third Proportional to 4,779.56 and 7,144.31

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Solution

The third proportional to 4,779.56 and 7,144.31 is: 10,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.56 : 7,144.31 = 7,144.31 : x
  2. Step 2: Convert to fraction form
    4,779.56/7,144.31 = 7,144.31/x
  3. Step 3: Cross multiply
    4,779.56x = 7,144.31 × 7,144.31
  4. Step 4: Simplify right side
    4,779.56x = 51,041,201.10
  5. Step 5: Solve for x
    x = 51,041,201.10/4,779.56
  6. Step 6: Final answer
    x = 10,679.05

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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.