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Finding the Third Proportional to 6,141.45 and 13,513.08

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Solution

The third proportional to 6,141.45 and 13,513.08 is: 29,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.45 : 13,513.08 = 13,513.08 : x
  2. Step 2: Convert to fraction form
    6,141.45/13,513.08 = 13,513.08/x
  3. Step 3: Cross multiply
    6,141.45x = 13,513.08 × 13,513.08
  4. Step 4: Simplify right side
    6,141.45x = 182,603,280.41
  5. Step 5: Solve for x
    x = 182,603,280.41/6,141.45
  6. Step 6: Final answer
    x = 29,732.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.