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Finding the Third Proportional to 6,414.19 and 14,053.50

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Solution

The third proportional to 6,414.19 and 14,053.50 is: 30,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.19 : 14,053.50 = 14,053.50 : x
  2. Step 2: Convert to fraction form
    6,414.19/14,053.50 = 14,053.50/x
  3. Step 3: Cross multiply
    6,414.19x = 14,053.50 × 14,053.50
  4. Step 4: Simplify right side
    6,414.19x = 197,500,862.25
  5. Step 5: Solve for x
    x = 197,500,862.25/6,414.19
  6. Step 6: Final answer
    x = 30,791.25

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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.