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Finding the Third Proportional to 21,500 and 30,967

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Solution

The third proportional to 21,500 and 30,967 is: 44,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500 : 30,967 = 30,967 : x
  2. Step 2: Convert to fraction form
    21,500/30,967 = 30,967/x
  3. Step 3: Cross multiply
    21,500x = 30,967 × 30,967
  4. Step 4: Simplify right side
    21,500x = 958,955,089
  5. Step 5: Solve for x
    x = 958,955,089/21,500
  6. Step 6: Final answer
    x = 44,602.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.