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Finding the Third Proportional to 23,938.88 and 36,011.63

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Solution

The third proportional to 23,938.88 and 36,011.63 is: 54,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938.88 : 36,011.63 = 36,011.63 : x
  2. Step 2: Convert to fraction form
    23,938.88/36,011.63 = 36,011.63/x
  3. Step 3: Cross multiply
    23,938.88x = 36,011.63 × 36,011.63
  4. Step 4: Simplify right side
    23,938.88x = 1,296,837,135.14
  5. Step 5: Solve for x
    x = 1,296,837,135.14/23,938.88
  6. Step 6: Final answer
    x = 54,172.85

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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.