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Finding the Third Proportional to 6,314 and 13,280.25

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Solution

The third proportional to 6,314 and 13,280.25 is: 27,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314 : 13,280.25 = 13,280.25 : x
  2. Step 2: Convert to fraction form
    6,314/13,280.25 = 13,280.25/x
  3. Step 3: Cross multiply
    6,314x = 13,280.25 × 13,280.25
  4. Step 4: Simplify right side
    6,314x = 176,365,040.06
  5. Step 5: Solve for x
    x = 176,365,040.06/6,314
  6. Step 6: Final answer
    x = 27,932.38

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Why These Related Problems?

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