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Finding the Third Proportional to 16,893 and 39,102

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Solution

The third proportional to 16,893 and 39,102 is: 90,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 39,102 = 39,102 : x
  2. Step 2: Convert to fraction form
    16,893/39,102 = 39,102/x
  3. Step 3: Cross multiply
    16,893x = 39,102 × 39,102
  4. Step 4: Simplify right side
    16,893x = 1,528,966,404
  5. Step 5: Solve for x
    x = 1,528,966,404/16,893
  6. Step 6: Final answer
    x = 90,508.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.