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Finding the Third Proportional to 6,026.25 and 7,106.25

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Solution

The third proportional to 6,026.25 and 7,106.25 is: 8,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.25 : 7,106.25 = 7,106.25 : x
  2. Step 2: Convert to fraction form
    6,026.25/7,106.25 = 7,106.25/x
  3. Step 3: Cross multiply
    6,026.25x = 7,106.25 × 7,106.25
  4. Step 4: Simplify right side
    6,026.25x = 50,498,789.06
  5. Step 5: Solve for x
    x = 50,498,789.06/6,026.25
  6. Step 6: Final answer
    x = 8,379.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.