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Finding the Third Proportional to 6,301.75 and 13,566.25

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Solution

The third proportional to 6,301.75 and 13,566.25 is: 29,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.75 : 13,566.25 = 13,566.25 : x
  2. Step 2: Convert to fraction form
    6,301.75/13,566.25 = 13,566.25/x
  3. Step 3: Cross multiply
    6,301.75x = 13,566.25 × 13,566.25
  4. Step 4: Simplify right side
    6,301.75x = 184,043,139.06
  5. Step 5: Solve for x
    x = 184,043,139.06/6,301.75
  6. Step 6: Final answer
    x = 29,205.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.