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Finding the Third Proportional to 15,824 and 34,576

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Solution

The third proportional to 15,824 and 34,576 is: 75,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 34,576 = 34,576 : x
  2. Step 2: Convert to fraction form
    15,824/34,576 = 34,576/x
  3. Step 3: Cross multiply
    15,824x = 34,576 × 34,576
  4. Step 4: Simplify right side
    15,824x = 1,195,499,776
  5. Step 5: Solve for x
    x = 1,195,499,776/15,824
  6. Step 6: Final answer
    x = 75,549.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.