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Finding the Third Proportional to 13,438.09 and 28,846.76

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Solution

The third proportional to 13,438.09 and 28,846.76 is: 61,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.09 : 28,846.76 = 28,846.76 : x
  2. Step 2: Convert to fraction form
    13,438.09/28,846.76 = 28,846.76/x
  3. Step 3: Cross multiply
    13,438.09x = 28,846.76 × 28,846.76
  4. Step 4: Simplify right side
    13,438.09x = 832,135,436.29
  5. Step 5: Solve for x
    x = 832,135,436.29/13,438.09
  6. Step 6: Final answer
    x = 61,923.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.