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Finding the Third Proportional to 31,232 and 47,892

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Solution

The third proportional to 31,232 and 47,892 is: 73,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232 : 47,892 = 47,892 : x
  2. Step 2: Convert to fraction form
    31,232/47,892 = 47,892/x
  3. Step 3: Cross multiply
    31,232x = 47,892 × 47,892
  4. Step 4: Simplify right side
    31,232x = 2,293,643,664
  5. Step 5: Solve for x
    x = 2,293,643,664/31,232
  6. Step 6: Final answer
    x = 73,438.90

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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.