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Finding the Third Proportional to 14,115 and 30,462

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Solution

The third proportional to 14,115 and 30,462 is: 65,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115 : 30,462 = 30,462 : x
  2. Step 2: Convert to fraction form
    14,115/30,462 = 30,462/x
  3. Step 3: Cross multiply
    14,115x = 30,462 × 30,462
  4. Step 4: Simplify right side
    14,115x = 927,933,444
  5. Step 5: Solve for x
    x = 927,933,444/14,115
  6. Step 6: Final answer
    x = 65,740.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.