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Finding the Third Proportional to 14,384.06 and 30,767.06

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Solution

The third proportional to 14,384.06 and 30,767.06 is: 65,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.06 : 30,767.06 = 30,767.06 : x
  2. Step 2: Convert to fraction form
    14,384.06/30,767.06 = 30,767.06/x
  3. Step 3: Cross multiply
    14,384.06x = 30,767.06 × 30,767.06
  4. Step 4: Simplify right side
    14,384.06x = 946,612,134.88
  5. Step 5: Solve for x
    x = 946,612,134.88/14,384.06
  6. Step 6: Final answer
    x = 65,809.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.