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Finding the Third Proportional to 26,513 and 58,130

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Solution

The third proportional to 26,513 and 58,130 is: 127,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,513 : 58,130 = 58,130 : x
  2. Step 2: Convert to fraction form
    26,513/58,130 = 58,130/x
  3. Step 3: Cross multiply
    26,513x = 58,130 × 58,130
  4. Step 4: Simplify right side
    26,513x = 3,379,096,900
  5. Step 5: Solve for x
    x = 3,379,096,900/26,513
  6. Step 6: Final answer
    x = 127,450.57

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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.