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Finding the Third Proportional to 28,424 and 43,033

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Solution

The third proportional to 28,424 and 43,033 is: 65,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424 : 43,033 = 43,033 : x
  2. Step 2: Convert to fraction form
    28,424/43,033 = 43,033/x
  3. Step 3: Cross multiply
    28,424x = 43,033 × 43,033
  4. Step 4: Simplify right side
    28,424x = 1,851,839,089
  5. Step 5: Solve for x
    x = 1,851,839,089/28,424
  6. Step 6: Final answer
    x = 65,150.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.