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Finding the Third Proportional to 26,790.75 and 39,411.56

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Solution

The third proportional to 26,790.75 and 39,411.56 is: 57,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790.75 : 39,411.56 = 39,411.56 : x
  2. Step 2: Convert to fraction form
    26,790.75/39,411.56 = 39,411.56/x
  3. Step 3: Cross multiply
    26,790.75x = 39,411.56 × 39,411.56
  4. Step 4: Simplify right side
    26,790.75x = 1,553,271,258.69
  5. Step 5: Solve for x
    x = 1,553,271,258.69/26,790.75
  6. Step 6: Final answer
    x = 57,977.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.