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Finding the Third Proportional to 12,464 and 28,832

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Solution

The third proportional to 12,464 and 28,832 is: 66,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464 : 28,832 = 28,832 : x
  2. Step 2: Convert to fraction form
    12,464/28,832 = 28,832/x
  3. Step 3: Cross multiply
    12,464x = 28,832 × 28,832
  4. Step 4: Simplify right side
    12,464x = 831,284,224
  5. Step 5: Solve for x
    x = 831,284,224/12,464
  6. Step 6: Final answer
    x = 66,694.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.