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Finding the Third Proportional to 10,498 and 16,385

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Solution

The third proportional to 10,498 and 16,385 is: 25,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 16,385 = 16,385 : x
  2. Step 2: Convert to fraction form
    10,498/16,385 = 16,385/x
  3. Step 3: Cross multiply
    10,498x = 16,385 × 16,385
  4. Step 4: Simplify right side
    10,498x = 268,468,225
  5. Step 5: Solve for x
    x = 268,468,225/10,498
  6. Step 6: Final answer
    x = 25,573.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.