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Finding the Third Proportional to 7,986.50 and 17,354

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Solution

The third proportional to 7,986.50 and 17,354 is: 37,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.50 : 17,354 = 17,354 : x
  2. Step 2: Convert to fraction form
    7,986.50/17,354 = 17,354/x
  3. Step 3: Cross multiply
    7,986.50x = 17,354 × 17,354
  4. Step 4: Simplify right side
    7,986.50x = 301,161,316
  5. Step 5: Solve for x
    x = 301,161,316/7,986.50
  6. Step 6: Final answer
    x = 37,708.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.