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Finding the Third Proportional to 22,986 and 35,148

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Solution

The third proportional to 22,986 and 35,148 is: 53,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986 : 35,148 = 35,148 : x
  2. Step 2: Convert to fraction form
    22,986/35,148 = 35,148/x
  3. Step 3: Cross multiply
    22,986x = 35,148 × 35,148
  4. Step 4: Simplify right side
    22,986x = 1,235,381,904
  5. Step 5: Solve for x
    x = 1,235,381,904/22,986
  6. Step 6: Final answer
    x = 53,744.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.