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Finding the Third Proportional to 16,397 and 38,495

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Solution

The third proportional to 16,397 and 38,495 is: 90,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397 : 38,495 = 38,495 : x
  2. Step 2: Convert to fraction form
    16,397/38,495 = 38,495/x
  3. Step 3: Cross multiply
    16,397x = 38,495 × 38,495
  4. Step 4: Simplify right side
    16,397x = 1,481,865,025
  5. Step 5: Solve for x
    x = 1,481,865,025/16,397
  6. Step 6: Final answer
    x = 90,374.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.