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Finding the Third Proportional to 23,826 and 36,576

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Solution

The third proportional to 23,826 and 36,576 is: 56,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826 : 36,576 = 36,576 : x
  2. Step 2: Convert to fraction form
    23,826/36,576 = 36,576/x
  3. Step 3: Cross multiply
    23,826x = 36,576 × 36,576
  4. Step 4: Simplify right side
    23,826x = 1,337,803,776
  5. Step 5: Solve for x
    x = 1,337,803,776/23,826
  6. Step 6: Final answer
    x = 56,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.