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Finding the Third Proportional to 6,277 and 13,646.25

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Solution

The third proportional to 6,277 and 13,646.25 is: 29,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277 : 13,646.25 = 13,646.25 : x
  2. Step 2: Convert to fraction form
    6,277/13,646.25 = 13,646.25/x
  3. Step 3: Cross multiply
    6,277x = 13,646.25 × 13,646.25
  4. Step 4: Simplify right side
    6,277x = 186,220,139.06
  5. Step 5: Solve for x
    x = 186,220,139.06/6,277
  6. Step 6: Final answer
    x = 29,667.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.