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Finding the Third Proportional to 13,475.81 and 31,474.69

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Solution

The third proportional to 13,475.81 and 31,474.69 is: 73,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.81 : 31,474.69 = 31,474.69 : x
  2. Step 2: Convert to fraction form
    13,475.81/31,474.69 = 31,474.69/x
  3. Step 3: Cross multiply
    13,475.81x = 31,474.69 × 31,474.69
  4. Step 4: Simplify right side
    13,475.81x = 990,655,953.22
  5. Step 5: Solve for x
    x = 990,655,953.22/13,475.81
  6. Step 6: Final answer
    x = 73,513.63

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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.