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Finding the Third Proportional to 6,242.25 and 13,578

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Solution

The third proportional to 6,242.25 and 13,578 is: 29,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.25 : 13,578 = 13,578 : x
  2. Step 2: Convert to fraction form
    6,242.25/13,578 = 13,578/x
  3. Step 3: Cross multiply
    6,242.25x = 13,578 × 13,578
  4. Step 4: Simplify right side
    6,242.25x = 184,362,084
  5. Step 5: Solve for x
    x = 184,362,084/6,242.25
  6. Step 6: Final answer
    x = 29,534.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.