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Finding the Third Proportional to 35,576 and 79,030

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Solution

The third proportional to 35,576 and 79,030 is: 175,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,576 : 79,030 = 79,030 : x
  2. Step 2: Convert to fraction form
    35,576/79,030 = 79,030/x
  3. Step 3: Cross multiply
    35,576x = 79,030 × 79,030
  4. Step 4: Simplify right side
    35,576x = 6,245,740,900
  5. Step 5: Solve for x
    x = 6,245,740,900/35,576
  6. Step 6: Final answer
    x = 175,560.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.