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Finding the Third Proportional to 7,115.34 and 13,342.22

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Solution

The third proportional to 7,115.34 and 13,342.22 is: 25,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.34 : 13,342.22 = 13,342.22 : x
  2. Step 2: Convert to fraction form
    7,115.34/13,342.22 = 13,342.22/x
  3. Step 3: Cross multiply
    7,115.34x = 13,342.22 × 13,342.22
  4. Step 4: Simplify right side
    7,115.34x = 178,014,801.17
  5. Step 5: Solve for x
    x = 178,014,801.17/7,115.34
  6. Step 6: Final answer
    x = 25,018.44

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.