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Finding the Third Proportional to 13,506.75 and 30,719.25

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Solution

The third proportional to 13,506.75 and 30,719.25 is: 69,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.75 : 30,719.25 = 30,719.25 : x
  2. Step 2: Convert to fraction form
    13,506.75/30,719.25 = 30,719.25/x
  3. Step 3: Cross multiply
    13,506.75x = 30,719.25 × 30,719.25
  4. Step 4: Simplify right side
    13,506.75x = 943,672,320.56
  5. Step 5: Solve for x
    x = 943,672,320.56/13,506.75
  6. Step 6: Final answer
    x = 69,866.72

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.