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Finding the Third Proportional to 34,576 and 75,410

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Solution

The third proportional to 34,576 and 75,410 is: 164,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,576 : 75,410 = 75,410 : x
  2. Step 2: Convert to fraction form
    34,576/75,410 = 75,410/x
  3. Step 3: Cross multiply
    34,576x = 75,410 × 75,410
  4. Step 4: Simplify right side
    34,576x = 5,686,668,100
  5. Step 5: Solve for x
    x = 5,686,668,100/34,576
  6. Step 6: Final answer
    x = 164,468.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.