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Finding the Third Proportional to 6,301 and 13,578

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Solution

The third proportional to 6,301 and 13,578 is: 29,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301 : 13,578 = 13,578 : x
  2. Step 2: Convert to fraction form
    6,301/13,578 = 13,578/x
  3. Step 3: Cross multiply
    6,301x = 13,578 × 13,578
  4. Step 4: Simplify right side
    6,301x = 184,362,084
  5. Step 5: Solve for x
    x = 184,362,084/6,301
  6. Step 6: Final answer
    x = 29,259.18

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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.