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Finding the Third Proportional to 12,656.25 and 18,969.75

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Solution

The third proportional to 12,656.25 and 18,969.75 is: 28,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.25 : 18,969.75 = 18,969.75 : x
  2. Step 2: Convert to fraction form
    12,656.25/18,969.75 = 18,969.75/x
  3. Step 3: Cross multiply
    12,656.25x = 18,969.75 × 18,969.75
  4. Step 4: Simplify right side
    12,656.25x = 359,851,415.06
  5. Step 5: Solve for x
    x = 359,851,415.06/12,656.25
  6. Step 6: Final answer
    x = 28,432.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.