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Finding the Third Proportional to 51,983 and 82,640

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Solution

The third proportional to 51,983 and 82,640 is: 131,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,983 : 82,640 = 82,640 : x
  2. Step 2: Convert to fraction form
    51,983/82,640 = 82,640/x
  3. Step 3: Cross multiply
    51,983x = 82,640 × 82,640
  4. Step 4: Simplify right side
    51,983x = 6,829,369,600
  5. Step 5: Solve for x
    x = 6,829,369,600/51,983
  6. Step 6: Final answer
    x = 131,376.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.