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Finding the Third Proportional to 30,232 and 65,330

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Solution

The third proportional to 30,232 and 65,330 is: 141,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232 : 65,330 = 65,330 : x
  2. Step 2: Convert to fraction form
    30,232/65,330 = 65,330/x
  3. Step 3: Cross multiply
    30,232x = 65,330 × 65,330
  4. Step 4: Simplify right side
    30,232x = 4,268,008,900
  5. Step 5: Solve for x
    x = 4,268,008,900/30,232
  6. Step 6: Final answer
    x = 141,175.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.