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Finding the Third Proportional to 6,415.03 and 7,326.28

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Solution

The third proportional to 6,415.03 and 7,326.28 is: 8,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.03 : 7,326.28 = 7,326.28 : x
  2. Step 2: Convert to fraction form
    6,415.03/7,326.28 = 7,326.28/x
  3. Step 3: Cross multiply
    6,415.03x = 7,326.28 × 7,326.28
  4. Step 4: Simplify right side
    6,415.03x = 53,674,396.95
  5. Step 5: Solve for x
    x = 53,674,396.95/6,415.03
  6. Step 6: Final answer
    x = 8,366.97

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.