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Finding the Third Proportional to 6,350 and 15,011

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Solution

The third proportional to 6,350 and 15,011 is: 35,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350 : 15,011 = 15,011 : x
  2. Step 2: Convert to fraction form
    6,350/15,011 = 15,011/x
  3. Step 3: Cross multiply
    6,350x = 15,011 × 15,011
  4. Step 4: Simplify right side
    6,350x = 225,330,121
  5. Step 5: Solve for x
    x = 225,330,121/6,350
  6. Step 6: Final answer
    x = 35,485.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.