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Finding the Third Proportional to 12,774.50 and 27,925

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Solution

The third proportional to 12,774.50 and 27,925 is: 61,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.50 : 27,925 = 27,925 : x
  2. Step 2: Convert to fraction form
    12,774.50/27,925 = 27,925/x
  3. Step 3: Cross multiply
    12,774.50x = 27,925 × 27,925
  4. Step 4: Simplify right side
    12,774.50x = 779,805,625
  5. Step 5: Solve for x
    x = 779,805,625/12,774.50
  6. Step 6: Final answer
    x = 61,043.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.