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Finding the Third Proportional to 26,907.75 and 58,659.47

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Solution

The third proportional to 26,907.75 and 58,659.47 is: 127,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.75 : 58,659.47 = 58,659.47 : x
  2. Step 2: Convert to fraction form
    26,907.75/58,659.47 = 58,659.47/x
  3. Step 3: Cross multiply
    26,907.75x = 58,659.47 × 58,659.47
  4. Step 4: Simplify right side
    26,907.75x = 3,440,933,274.03
  5. Step 5: Solve for x
    x = 3,440,933,274.03/26,907.75
  6. Step 6: Final answer
    x = 127,878.89

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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.