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Finding the Third Proportional to 12,858 and 29,875

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Solution

The third proportional to 12,858 and 29,875 is: 69,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858 : 29,875 = 29,875 : x
  2. Step 2: Convert to fraction form
    12,858/29,875 = 29,875/x
  3. Step 3: Cross multiply
    12,858x = 29,875 × 29,875
  4. Step 4: Simplify right side
    12,858x = 892,515,625
  5. Step 5: Solve for x
    x = 892,515,625/12,858
  6. Step 6: Final answer
    x = 69,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.