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Finding the Third Proportional to 14,232 and 30,569

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Solution

The third proportional to 14,232 and 30,569 is: 65,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232 : 30,569 = 30,569 : x
  2. Step 2: Convert to fraction form
    14,232/30,569 = 30,569/x
  3. Step 3: Cross multiply
    14,232x = 30,569 × 30,569
  4. Step 4: Simplify right side
    14,232x = 934,463,761
  5. Step 5: Solve for x
    x = 934,463,761/14,232
  6. Step 6: Final answer
    x = 65,659.34

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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.