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Finding the Third Proportional to 35,615.50 and 76,172

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Solution

The third proportional to 35,615.50 and 76,172 is: 162,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,615.50 : 76,172 = 76,172 : x
  2. Step 2: Convert to fraction form
    35,615.50/76,172 = 76,172/x
  3. Step 3: Cross multiply
    35,615.50x = 76,172 × 76,172
  4. Step 4: Simplify right side
    35,615.50x = 5,802,173,584
  5. Step 5: Solve for x
    x = 5,802,173,584/35,615.50
  6. Step 6: Final answer
    x = 162,911.47

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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.