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Finding the Third Proportional to 16,675 and 39,362

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Solution

The third proportional to 16,675 and 39,362 is: 92,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675 : 39,362 = 39,362 : x
  2. Step 2: Convert to fraction form
    16,675/39,362 = 39,362/x
  3. Step 3: Cross multiply
    16,675x = 39,362 × 39,362
  4. Step 4: Simplify right side
    16,675x = 1,549,367,044
  5. Step 5: Solve for x
    x = 1,549,367,044/16,675
  6. Step 6: Final answer
    x = 92,915.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.