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Finding the Third Proportional to 6,827.63 and 14,729.63

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Solution

The third proportional to 6,827.63 and 14,729.63 is: 31,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.63 : 14,729.63 = 14,729.63 : x
  2. Step 2: Convert to fraction form
    6,827.63/14,729.63 = 14,729.63/x
  3. Step 3: Cross multiply
    6,827.63x = 14,729.63 × 14,729.63
  4. Step 4: Simplify right side
    6,827.63x = 216,961,852.64
  5. Step 5: Solve for x
    x = 216,961,852.64/6,827.63
  6. Step 6: Final answer
    x = 31,777.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.