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Finding the Third Proportional to 26,548 and 58,018

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Solution

The third proportional to 26,548 and 58,018 is: 126,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548 : 58,018 = 58,018 : x
  2. Step 2: Convert to fraction form
    26,548/58,018 = 58,018/x
  3. Step 3: Cross multiply
    26,548x = 58,018 × 58,018
  4. Step 4: Simplify right side
    26,548x = 3,366,088,324
  5. Step 5: Solve for x
    x = 3,366,088,324/26,548
  6. Step 6: Final answer
    x = 126,792.54

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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.