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Finding the Third Proportional to 28,632 and 43,802

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Solution

The third proportional to 28,632 and 43,802 is: 67,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,632 : 43,802 = 43,802 : x
  2. Step 2: Convert to fraction form
    28,632/43,802 = 43,802/x
  3. Step 3: Cross multiply
    28,632x = 43,802 × 43,802
  4. Step 4: Simplify right side
    28,632x = 1,918,615,204
  5. Step 5: Solve for x
    x = 1,918,615,204/28,632
  6. Step 6: Final answer
    x = 67,009.47

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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.