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Finding the Third Proportional to 31,237 and 45,683

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Solution

The third proportional to 31,237 and 45,683 is: 66,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237 : 45,683 = 45,683 : x
  2. Step 2: Convert to fraction form
    31,237/45,683 = 45,683/x
  3. Step 3: Cross multiply
    31,237x = 45,683 × 45,683
  4. Step 4: Simplify right side
    31,237x = 2,086,936,489
  5. Step 5: Solve for x
    x = 2,086,936,489/31,237
  6. Step 6: Final answer
    x = 66,809.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.