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Finding the Third Proportional to 6,173.72 and 14,921.72

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Solution

The third proportional to 6,173.72 and 14,921.72 is: 36,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.72 : 14,921.72 = 14,921.72 : x
  2. Step 2: Convert to fraction form
    6,173.72/14,921.72 = 14,921.72/x
  3. Step 3: Cross multiply
    6,173.72x = 14,921.72 × 14,921.72
  4. Step 4: Simplify right side
    6,173.72x = 222,657,690.45
  5. Step 5: Solve for x
    x = 222,657,690.45/6,173.72
  6. Step 6: Final answer
    x = 36,065.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.