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Finding the Third Proportional to 26,823 and 58,830

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Solution

The third proportional to 26,823 and 58,830 is: 129,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823 : 58,830 = 58,830 : x
  2. Step 2: Convert to fraction form
    26,823/58,830 = 58,830/x
  3. Step 3: Cross multiply
    26,823x = 58,830 × 58,830
  4. Step 4: Simplify right side
    26,823x = 3,460,968,900
  5. Step 5: Solve for x
    x = 3,460,968,900/26,823
  6. Step 6: Final answer
    x = 129,029.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.