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Finding the Third Proportional to 13,347.50 and 30,896

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Solution

The third proportional to 13,347.50 and 30,896 is: 71,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.50 : 30,896 = 30,896 : x
  2. Step 2: Convert to fraction form
    13,347.50/30,896 = 30,896/x
  3. Step 3: Cross multiply
    13,347.50x = 30,896 × 30,896
  4. Step 4: Simplify right side
    13,347.50x = 954,562,816
  5. Step 5: Solve for x
    x = 954,562,816/13,347.50
  6. Step 6: Final answer
    x = 71,516.23

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.