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Finding the Third Proportional to 17,348.50 and 37,157

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Solution

The third proportional to 17,348.50 and 37,157 is: 79,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348.50 : 37,157 = 37,157 : x
  2. Step 2: Convert to fraction form
    17,348.50/37,157 = 37,157/x
  3. Step 3: Cross multiply
    17,348.50x = 37,157 × 37,157
  4. Step 4: Simplify right side
    17,348.50x = 1,380,642,649
  5. Step 5: Solve for x
    x = 1,380,642,649/17,348.50
  6. Step 6: Final answer
    x = 79,582.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.