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Finding the Third Proportional to 7,050.75 and 15,164.75

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Solution

The third proportional to 7,050.75 and 15,164.75 is: 32,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.75 : 15,164.75 = 15,164.75 : x
  2. Step 2: Convert to fraction form
    7,050.75/15,164.75 = 15,164.75/x
  3. Step 3: Cross multiply
    7,050.75x = 15,164.75 × 15,164.75
  4. Step 4: Simplify right side
    7,050.75x = 229,969,642.56
  5. Step 5: Solve for x
    x = 229,969,642.56/7,050.75
  6. Step 6: Final answer
    x = 32,616.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.