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Finding the Third Proportional to 14,102 and 30,330

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Solution

The third proportional to 14,102 and 30,330 is: 65,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 30,330 = 30,330 : x
  2. Step 2: Convert to fraction form
    14,102/30,330 = 30,330/x
  3. Step 3: Cross multiply
    14,102x = 30,330 × 30,330
  4. Step 4: Simplify right side
    14,102x = 919,908,900
  5. Step 5: Solve for x
    x = 919,908,900/14,102
  6. Step 6: Final answer
    x = 65,232.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.