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Finding the Third Proportional to 6,084.70 and 13,141.41

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Solution

The third proportional to 6,084.70 and 13,141.41 is: 28,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.70 : 13,141.41 = 13,141.41 : x
  2. Step 2: Convert to fraction form
    6,084.70/13,141.41 = 13,141.41/x
  3. Step 3: Cross multiply
    6,084.70x = 13,141.41 × 13,141.41
  4. Step 4: Simplify right side
    6,084.70x = 172,696,558.23
  5. Step 5: Solve for x
    x = 172,696,558.23/6,084.70
  6. Step 6: Final answer
    x = 28,382.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.