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Finding the Third Proportional to 27,384.75 and 36,014.63

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Solution

The third proportional to 27,384.75 and 36,014.63 is: 47,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.75 : 36,014.63 = 36,014.63 : x
  2. Step 2: Convert to fraction form
    27,384.75/36,014.63 = 36,014.63/x
  3. Step 3: Cross multiply
    27,384.75x = 36,014.63 × 36,014.63
  4. Step 4: Simplify right side
    27,384.75x = 1,297,053,213.89
  5. Step 5: Solve for x
    x = 1,297,053,213.89/27,384.75
  6. Step 6: Final answer
    x = 47,364.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.