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Finding the Third Proportional to 51,413 and 70,041

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Solution

The third proportional to 51,413 and 70,041 is: 95,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413 : 70,041 = 70,041 : x
  2. Step 2: Convert to fraction form
    51,413/70,041 = 70,041/x
  3. Step 3: Cross multiply
    51,413x = 70,041 × 70,041
  4. Step 4: Simplify right side
    51,413x = 4,905,741,681
  5. Step 5: Solve for x
    x = 4,905,741,681/51,413
  6. Step 6: Final answer
    x = 95,418.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.