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Finding the Third Proportional to 7,615.41 and 15,840.21

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Solution

The third proportional to 7,615.41 and 15,840.21 is: 32,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.41 : 15,840.21 = 15,840.21 : x
  2. Step 2: Convert to fraction form
    7,615.41/15,840.21 = 15,840.21/x
  3. Step 3: Cross multiply
    7,615.41x = 15,840.21 × 15,840.21
  4. Step 4: Simplify right side
    7,615.41x = 250,912,282.54
  5. Step 5: Solve for x
    x = 250,912,282.54/7,615.41
  6. Step 6: Final answer
    x = 32,947.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.