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Finding the Third Proportional to 24,036 and 32,148

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Solution

The third proportional to 24,036 and 32,148 is: 42,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036 : 32,148 = 32,148 : x
  2. Step 2: Convert to fraction form
    24,036/32,148 = 32,148/x
  3. Step 3: Cross multiply
    24,036x = 32,148 × 32,148
  4. Step 4: Simplify right side
    24,036x = 1,033,493,904
  5. Step 5: Solve for x
    x = 1,033,493,904/24,036
  6. Step 6: Final answer
    x = 42,997.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.