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Finding the Third Proportional to 26,614 and 58,090

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Solution

The third proportional to 26,614 and 58,090 is: 126,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,614 : 58,090 = 58,090 : x
  2. Step 2: Convert to fraction form
    26,614/58,090 = 58,090/x
  3. Step 3: Cross multiply
    26,614x = 58,090 × 58,090
  4. Step 4: Simplify right side
    26,614x = 3,374,448,100
  5. Step 5: Solve for x
    x = 3,374,448,100/26,614
  6. Step 6: Final answer
    x = 126,792.22

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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.