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Finding the Third Proportional to 12,961.25 and 28,433.50

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Solution

The third proportional to 12,961.25 and 28,433.50 is: 62,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.25 : 28,433.50 = 28,433.50 : x
  2. Step 2: Convert to fraction form
    12,961.25/28,433.50 = 28,433.50/x
  3. Step 3: Cross multiply
    12,961.25x = 28,433.50 × 28,433.50
  4. Step 4: Simplify right side
    12,961.25x = 808,463,922.25
  5. Step 5: Solve for x
    x = 808,463,922.25/12,961.25
  6. Step 6: Final answer
    x = 62,375.46

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