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Finding the Third Proportional to 26,862 and 58,710

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Solution

The third proportional to 26,862 and 58,710 is: 128,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,862 : 58,710 = 58,710 : x
  2. Step 2: Convert to fraction form
    26,862/58,710 = 58,710/x
  3. Step 3: Cross multiply
    26,862x = 58,710 × 58,710
  4. Step 4: Simplify right side
    26,862x = 3,446,864,100
  5. Step 5: Solve for x
    x = 3,446,864,100/26,862
  6. Step 6: Final answer
    x = 128,317.48

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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.