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Finding the Third Proportional to 10,411 and 15,877

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Solution

The third proportional to 10,411 and 15,877 is: 24,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411 : 15,877 = 15,877 : x
  2. Step 2: Convert to fraction form
    10,411/15,877 = 15,877/x
  3. Step 3: Cross multiply
    10,411x = 15,877 × 15,877
  4. Step 4: Simplify right side
    10,411x = 252,079,129
  5. Step 5: Solve for x
    x = 252,079,129/10,411
  6. Step 6: Final answer
    x = 24,212.77

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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.