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Finding the Third Proportional to 30,330 and 65,034

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Solution

The third proportional to 30,330 and 65,034 is: 139,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,330 : 65,034 = 65,034 : x
  2. Step 2: Convert to fraction form
    30,330/65,034 = 65,034/x
  3. Step 3: Cross multiply
    30,330x = 65,034 × 65,034
  4. Step 4: Simplify right side
    30,330x = 4,229,421,156
  5. Step 5: Solve for x
    x = 4,229,421,156/30,330
  6. Step 6: Final answer
    x = 139,446.79

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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.