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Finding the Third Proportional to 16,202 and 25,383

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Solution

The third proportional to 16,202 and 25,383 is: 39,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 25,383 = 25,383 : x
  2. Step 2: Convert to fraction form
    16,202/25,383 = 25,383/x
  3. Step 3: Cross multiply
    16,202x = 25,383 × 25,383
  4. Step 4: Simplify right side
    16,202x = 644,296,689
  5. Step 5: Solve for x
    x = 644,296,689/16,202
  6. Step 6: Final answer
    x = 39,766.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.