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Finding the Third Proportional to 24,180 and 53,112

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Solution

The third proportional to 24,180 and 53,112 is: 116,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180 : 53,112 = 53,112 : x
  2. Step 2: Convert to fraction form
    24,180/53,112 = 53,112/x
  3. Step 3: Cross multiply
    24,180x = 53,112 × 53,112
  4. Step 4: Simplify right side
    24,180x = 2,820,884,544
  5. Step 5: Solve for x
    x = 2,820,884,544/24,180
  6. Step 6: Final answer
    x = 116,661.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.