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Finding the Third Proportional to 5,615.58 and 13,353.61

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Solution

The third proportional to 5,615.58 and 13,353.61 is: 31,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.58 : 13,353.61 = 13,353.61 : x
  2. Step 2: Convert to fraction form
    5,615.58/13,353.61 = 13,353.61/x
  3. Step 3: Cross multiply
    5,615.58x = 13,353.61 × 13,353.61
  4. Step 4: Simplify right side
    5,615.58x = 178,318,883.34
  5. Step 5: Solve for x
    x = 178,318,883.34/5,615.58
  6. Step 6: Final answer
    x = 31,754.32

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.