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Finding the Third Proportional to 2,969.44 and 6,490.41

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Solution

The third proportional to 2,969.44 and 6,490.41 is: 14,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.44 : 6,490.41 = 6,490.41 : x
  2. Step 2: Convert to fraction form
    2,969.44/6,490.41 = 6,490.41/x
  3. Step 3: Cross multiply
    2,969.44x = 6,490.41 × 6,490.41
  4. Step 4: Simplify right side
    2,969.44x = 42,125,373.29
  5. Step 5: Solve for x
    x = 42,125,373.29/2,969.44
  6. Step 6: Final answer
    x = 14,186.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.