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Finding the Third Proportional to 28,666 and 58,609

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Solution

The third proportional to 28,666 and 58,609 is: 119,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,666 : 58,609 = 58,609 : x
  2. Step 2: Convert to fraction form
    28,666/58,609 = 58,609/x
  3. Step 3: Cross multiply
    28,666x = 58,609 × 58,609
  4. Step 4: Simplify right side
    28,666x = 3,435,014,881
  5. Step 5: Solve for x
    x = 3,435,014,881/28,666
  6. Step 6: Final answer
    x = 119,828.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.