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Finding the Third Proportional to 18,576 and 39,312

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Solution

The third proportional to 18,576 and 39,312 is: 83,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 39,312 = 39,312 : x
  2. Step 2: Convert to fraction form
    18,576/39,312 = 39,312/x
  3. Step 3: Cross multiply
    18,576x = 39,312 × 39,312
  4. Step 4: Simplify right side
    18,576x = 1,545,433,344
  5. Step 5: Solve for x
    x = 1,545,433,344/18,576
  6. Step 6: Final answer
    x = 83,195.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.