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Finding the Third Proportional to 26,550 and 58,022

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Solution

The third proportional to 26,550 and 58,022 is: 126,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,550 : 58,022 = 58,022 : x
  2. Step 2: Convert to fraction form
    26,550/58,022 = 58,022/x
  3. Step 3: Cross multiply
    26,550x = 58,022 × 58,022
  4. Step 4: Simplify right side
    26,550x = 3,366,552,484
  5. Step 5: Solve for x
    x = 3,366,552,484/26,550
  6. Step 6: Final answer
    x = 126,800.47

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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.