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Finding the Third Proportional to 13,009.50 and 30,471.75

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Solution

The third proportional to 13,009.50 and 30,471.75 is: 71,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.50 : 30,471.75 = 30,471.75 : x
  2. Step 2: Convert to fraction form
    13,009.50/30,471.75 = 30,471.75/x
  3. Step 3: Cross multiply
    13,009.50x = 30,471.75 × 30,471.75
  4. Step 4: Simplify right side
    13,009.50x = 928,527,548.06
  5. Step 5: Solve for x
    x = 928,527,548.06/13,009.50
  6. Step 6: Final answer
    x = 71,373.04

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.