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Finding the Third Proportional to 24,144 and 35,960

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Solution

The third proportional to 24,144 and 35,960 is: 53,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144 : 35,960 = 35,960 : x
  2. Step 2: Convert to fraction form
    24,144/35,960 = 35,960/x
  3. Step 3: Cross multiply
    24,144x = 35,960 × 35,960
  4. Step 4: Simplify right side
    24,144x = 1,293,121,600
  5. Step 5: Solve for x
    x = 1,293,121,600/24,144
  6. Step 6: Final answer
    x = 53,558.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.