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Finding the Third Proportional to 31,672 and 49,232

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Solution

The third proportional to 31,672 and 49,232 is: 76,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672 : 49,232 = 49,232 : x
  2. Step 2: Convert to fraction form
    31,672/49,232 = 49,232/x
  3. Step 3: Cross multiply
    31,672x = 49,232 × 49,232
  4. Step 4: Simplify right side
    31,672x = 2,423,789,824
  5. Step 5: Solve for x
    x = 2,423,789,824/31,672
  6. Step 6: Final answer
    x = 76,527.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.