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Finding the Third Proportional to 7,746.26 and 15,950.99

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Solution

The third proportional to 7,746.26 and 15,950.99 is: 32,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.26 : 15,950.99 = 15,950.99 : x
  2. Step 2: Convert to fraction form
    7,746.26/15,950.99 = 15,950.99/x
  3. Step 3: Cross multiply
    7,746.26x = 15,950.99 × 15,950.99
  4. Step 4: Simplify right side
    7,746.26x = 254,434,027.15
  5. Step 5: Solve for x
    x = 254,434,027.15/7,746.26
  6. Step 6: Final answer
    x = 32,846.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.