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Finding the Third Proportional to 6,546.94 and 14,140.13

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Solution

The third proportional to 6,546.94 and 14,140.13 is: 30,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.94 : 14,140.13 = 14,140.13 : x
  2. Step 2: Convert to fraction form
    6,546.94/14,140.13 = 14,140.13/x
  3. Step 3: Cross multiply
    6,546.94x = 14,140.13 × 14,140.13
  4. Step 4: Simplify right side
    6,546.94x = 199,943,135.02
  5. Step 5: Solve for x
    x = 199,943,135.02/6,546.94
  6. Step 6: Final answer
    x = 30,539.95

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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.