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Finding the Third Proportional to 26,816 and 58,816

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Solution

The third proportional to 26,816 and 58,816 is: 129,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,816 : 58,816 = 58,816 : x
  2. Step 2: Convert to fraction form
    26,816/58,816 = 58,816/x
  3. Step 3: Cross multiply
    26,816x = 58,816 × 58,816
  4. Step 4: Simplify right side
    26,816x = 3,459,321,856
  5. Step 5: Solve for x
    x = 3,459,321,856/26,816
  6. Step 6: Final answer
    x = 129,002.16

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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.