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Finding the Third Proportional to 28,634 and 61,072

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Solution

The third proportional to 28,634 and 61,072 is: 130,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,634 : 61,072 = 61,072 : x
  2. Step 2: Convert to fraction form
    28,634/61,072 = 61,072/x
  3. Step 3: Cross multiply
    28,634x = 61,072 × 61,072
  4. Step 4: Simplify right side
    28,634x = 3,729,789,184
  5. Step 5: Solve for x
    x = 3,729,789,184/28,634
  6. Step 6: Final answer
    x = 130,257.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.