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Finding the Third Proportional to 12,806.25 and 19,023.75

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Solution

The third proportional to 12,806.25 and 19,023.75 is: 28,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.25 : 19,023.75 = 19,023.75 : x
  2. Step 2: Convert to fraction form
    12,806.25/19,023.75 = 19,023.75/x
  3. Step 3: Cross multiply
    12,806.25x = 19,023.75 × 19,023.75
  4. Step 4: Simplify right side
    12,806.25x = 361,903,064.06
  5. Step 5: Solve for x
    x = 361,903,064.06/12,806.25
  6. Step 6: Final answer
    x = 28,259.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.