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Finding the Third Proportional to 9,877 and 21,213

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Solution

The third proportional to 9,877 and 21,213 is: 45,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 21,213 = 21,213 : x
  2. Step 2: Convert to fraction form
    9,877/21,213 = 21,213/x
  3. Step 3: Cross multiply
    9,877x = 21,213 × 21,213
  4. Step 4: Simplify right side
    9,877x = 449,991,369
  5. Step 5: Solve for x
    x = 449,991,369/9,877
  6. Step 6: Final answer
    x = 45,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.