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Finding the Third Proportional to 10,245 and 21,967

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Solution

The third proportional to 10,245 and 21,967 is: 47,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245 : 21,967 = 21,967 : x
  2. Step 2: Convert to fraction form
    10,245/21,967 = 21,967/x
  3. Step 3: Cross multiply
    10,245x = 21,967 × 21,967
  4. Step 4: Simplify right side
    10,245x = 482,549,089
  5. Step 5: Solve for x
    x = 482,549,089/10,245
  6. Step 6: Final answer
    x = 47,100.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.