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Finding the Third Proportional to 26,967.25 and 58,669

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Solution

The third proportional to 26,967.25 and 58,669 is: 127,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,967.25 : 58,669 = 58,669 : x
  2. Step 2: Convert to fraction form
    26,967.25/58,669 = 58,669/x
  3. Step 3: Cross multiply
    26,967.25x = 58,669 × 58,669
  4. Step 4: Simplify right side
    26,967.25x = 3,442,051,561
  5. Step 5: Solve for x
    x = 3,442,051,561/26,967.25
  6. Step 6: Final answer
    x = 127,638.21

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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.