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Finding the Third Proportional to 16,403.50 and 38,512

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Solution

The third proportional to 16,403.50 and 38,512 is: 90,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.50 : 38,512 = 38,512 : x
  2. Step 2: Convert to fraction form
    16,403.50/38,512 = 38,512/x
  3. Step 3: Cross multiply
    16,403.50x = 38,512 × 38,512
  4. Step 4: Simplify right side
    16,403.50x = 1,483,174,144
  5. Step 5: Solve for x
    x = 1,483,174,144/16,403.50
  6. Step 6: Final answer
    x = 90,418.15

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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.