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Finding the Third Proportional to 34,896 and 74,576

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Solution

The third proportional to 34,896 and 74,576 is: 159,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,896 : 74,576 = 74,576 : x
  2. Step 2: Convert to fraction form
    34,896/74,576 = 74,576/x
  3. Step 3: Cross multiply
    34,896x = 74,576 × 74,576
  4. Step 4: Simplify right side
    34,896x = 5,561,579,776
  5. Step 5: Solve for x
    x = 5,561,579,776/34,896
  6. Step 6: Final answer
    x = 159,375.85

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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.