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Finding the Third Proportional to 6,039 and 6,565.50

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Solution

The third proportional to 6,039 and 6,565.50 is: 7,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039 : 6,565.50 = 6,565.50 : x
  2. Step 2: Convert to fraction form
    6,039/6,565.50 = 6,565.50/x
  3. Step 3: Cross multiply
    6,039x = 6,565.50 × 6,565.50
  4. Step 4: Simplify right side
    6,039x = 43,105,790.25
  5. Step 5: Solve for x
    x = 43,105,790.25/6,039
  6. Step 6: Final answer
    x = 7,137.90

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.