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Finding the Third Proportional to 5,709.75 and 6,555.75

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Solution

The third proportional to 5,709.75 and 6,555.75 is: 7,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.75 : 6,555.75 = 6,555.75 : x
  2. Step 2: Convert to fraction form
    5,709.75/6,555.75 = 6,555.75/x
  3. Step 3: Cross multiply
    5,709.75x = 6,555.75 × 6,555.75
  4. Step 4: Simplify right side
    5,709.75x = 42,977,858.06
  5. Step 5: Solve for x
    x = 42,977,858.06/5,709.75
  6. Step 6: Final answer
    x = 7,527.10

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.