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Finding the Third Proportional to 6,274.13 and 14,865.19

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Solution

The third proportional to 6,274.13 and 14,865.19 is: 35,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.13 : 14,865.19 = 14,865.19 : x
  2. Step 2: Convert to fraction form
    6,274.13/14,865.19 = 14,865.19/x
  3. Step 3: Cross multiply
    6,274.13x = 14,865.19 × 14,865.19
  4. Step 4: Simplify right side
    6,274.13x = 220,973,799.41
  5. Step 5: Solve for x
    x = 220,973,799.41/6,274.13
  6. Step 6: Final answer
    x = 35,219.86

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.