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Finding the Third Proportional to 26,576 and 39,928

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Solution

The third proportional to 26,576 and 39,928 is: 59,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,576 : 39,928 = 39,928 : x
  2. Step 2: Convert to fraction form
    26,576/39,928 = 39,928/x
  3. Step 3: Cross multiply
    26,576x = 39,928 × 39,928
  4. Step 4: Simplify right side
    26,576x = 1,594,245,184
  5. Step 5: Solve for x
    x = 1,594,245,184/26,576
  6. Step 6: Final answer
    x = 59,988.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.