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Finding the Third Proportional to 16,398 and 38,497.50

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Solution

The third proportional to 16,398 and 38,497.50 is: 90,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,398 : 38,497.50 = 38,497.50 : x
  2. Step 2: Convert to fraction form
    16,398/38,497.50 = 38,497.50/x
  3. Step 3: Cross multiply
    16,398x = 38,497.50 × 38,497.50
  4. Step 4: Simplify right side
    16,398x = 1,482,057,506.25
  5. Step 5: Solve for x
    x = 1,482,057,506.25/16,398
  6. Step 6: Final answer
    x = 90,380.38

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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.