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Finding the Third Proportional to 17,498 and 40,877

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Solution

The third proportional to 17,498 and 40,877 is: 95,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498 : 40,877 = 40,877 : x
  2. Step 2: Convert to fraction form
    17,498/40,877 = 40,877/x
  3. Step 3: Cross multiply
    17,498x = 40,877 × 40,877
  4. Step 4: Simplify right side
    17,498x = 1,670,929,129
  5. Step 5: Solve for x
    x = 1,670,929,129/17,498
  6. Step 6: Final answer
    x = 95,492.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.