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Finding the Third Proportional to 6,308.63 and 13,271.25

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Solution

The third proportional to 6,308.63 and 13,271.25 is: 27,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.63 : 13,271.25 = 13,271.25 : x
  2. Step 2: Convert to fraction form
    6,308.63/13,271.25 = 13,271.25/x
  3. Step 3: Cross multiply
    6,308.63x = 13,271.25 × 13,271.25
  4. Step 4: Simplify right side
    6,308.63x = 176,126,076.56
  5. Step 5: Solve for x
    x = 176,126,076.56/6,308.63
  6. Step 6: Final answer
    x = 27,918.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.