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Finding the Third Proportional to 12,965.75 and 28,441.50

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Solution

The third proportional to 12,965.75 and 28,441.50 is: 62,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.75 : 28,441.50 = 28,441.50 : x
  2. Step 2: Convert to fraction form
    12,965.75/28,441.50 = 28,441.50/x
  3. Step 3: Cross multiply
    12,965.75x = 28,441.50 × 28,441.50
  4. Step 4: Simplify right side
    12,965.75x = 808,918,922.25
  5. Step 5: Solve for x
    x = 808,918,922.25/12,965.75
  6. Step 6: Final answer
    x = 62,388.90

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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.