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Finding the Third Proportional to 12,994 and 28,175

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Solution

The third proportional to 12,994 and 28,175 is: 61,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994 : 28,175 = 28,175 : x
  2. Step 2: Convert to fraction form
    12,994/28,175 = 28,175/x
  3. Step 3: Cross multiply
    12,994x = 28,175 × 28,175
  4. Step 4: Simplify right side
    12,994x = 793,830,625
  5. Step 5: Solve for x
    x = 793,830,625/12,994
  6. Step 6: Final answer
    x = 61,092.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.