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Finding the Third Proportional to 13,407.75 and 28,662.75

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Solution

The third proportional to 13,407.75 and 28,662.75 is: 61,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.75 : 28,662.75 = 28,662.75 : x
  2. Step 2: Convert to fraction form
    13,407.75/28,662.75 = 28,662.75/x
  3. Step 3: Cross multiply
    13,407.75x = 28,662.75 × 28,662.75
  4. Step 4: Simplify right side
    13,407.75x = 821,553,237.56
  5. Step 5: Solve for x
    x = 821,553,237.56/13,407.75
  6. Step 6: Final answer
    x = 61,274.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.