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Finding the Third Proportional to 31,512 and 64,056

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Solution

The third proportional to 31,512 and 64,056 is: 130,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512 : 64,056 = 64,056 : x
  2. Step 2: Convert to fraction form
    31,512/64,056 = 64,056/x
  3. Step 3: Cross multiply
    31,512x = 64,056 × 64,056
  4. Step 4: Simplify right side
    31,512x = 4,103,171,136
  5. Step 5: Solve for x
    x = 4,103,171,136/31,512
  6. Step 6: Final answer
    x = 130,209.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.