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Finding the Third Proportional to 17,500 and 23,576

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Solution

The third proportional to 17,500 and 23,576 is: 31,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500 : 23,576 = 23,576 : x
  2. Step 2: Convert to fraction form
    17,500/23,576 = 23,576/x
  3. Step 3: Cross multiply
    17,500x = 23,576 × 23,576
  4. Step 4: Simplify right side
    17,500x = 555,827,776
  5. Step 5: Solve for x
    x = 555,827,776/17,500
  6. Step 6: Final answer
    x = 31,761.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.