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Finding the Third Proportional to 6,050 and 6,530

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Solution

The third proportional to 6,050 and 6,530 is: 7,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,050 : 6,530 = 6,530 : x
  2. Step 2: Convert to fraction form
    6,050/6,530 = 6,530/x
  3. Step 3: Cross multiply
    6,050x = 6,530 × 6,530
  4. Step 4: Simplify right side
    6,050x = 42,640,900
  5. Step 5: Solve for x
    x = 42,640,900/6,050
  6. Step 6: Final answer
    x = 7,048.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.