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Finding the Third Proportional to 39,141 and 52,433

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Solution

The third proportional to 39,141 and 52,433 is: 70,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,141 : 52,433 = 52,433 : x
  2. Step 2: Convert to fraction form
    39,141/52,433 = 52,433/x
  3. Step 3: Cross multiply
    39,141x = 52,433 × 52,433
  4. Step 4: Simplify right side
    39,141x = 2,749,219,489
  5. Step 5: Solve for x
    x = 2,749,219,489/39,141
  6. Step 6: Final answer
    x = 70,238.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.