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Finding the Third Proportional to 48,433 and 72,647

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Solution

The third proportional to 48,433 and 72,647 is: 108,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,433 : 72,647 = 72,647 : x
  2. Step 2: Convert to fraction form
    48,433/72,647 = 72,647/x
  3. Step 3: Cross multiply
    48,433x = 72,647 × 72,647
  4. Step 4: Simplify right side
    48,433x = 5,277,586,609
  5. Step 5: Solve for x
    x = 5,277,586,609/48,433
  6. Step 6: Final answer
    x = 108,966.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.