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Finding the Third Proportional to 4,334.22 and 9,326.78

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Solution

The third proportional to 4,334.22 and 9,326.78 is: 20,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.22 : 9,326.78 = 9,326.78 : x
  2. Step 2: Convert to fraction form
    4,334.22/9,326.78 = 9,326.78/x
  3. Step 3: Cross multiply
    4,334.22x = 9,326.78 × 9,326.78
  4. Step 4: Simplify right side
    4,334.22x = 86,988,848.49
  5. Step 5: Solve for x
    x = 86,988,848.49/4,334.22
  6. Step 6: Final answer
    x = 20,070.25

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