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Finding the Third Proportional to 26,906 and 58,724

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Solution

The third proportional to 26,906 and 58,724 is: 128,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906 : 58,724 = 58,724 : x
  2. Step 2: Convert to fraction form
    26,906/58,724 = 58,724/x
  3. Step 3: Cross multiply
    26,906x = 58,724 × 58,724
  4. Step 4: Simplify right side
    26,906x = 3,448,508,176
  5. Step 5: Solve for x
    x = 3,448,508,176/26,906
  6. Step 6: Final answer
    x = 128,168.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.