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Finding the Third Proportional to 12,385 and 26,743.75

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Solution

The third proportional to 12,385 and 26,743.75 is: 57,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385 : 26,743.75 = 26,743.75 : x
  2. Step 2: Convert to fraction form
    12,385/26,743.75 = 26,743.75/x
  3. Step 3: Cross multiply
    12,385x = 26,743.75 × 26,743.75
  4. Step 4: Simplify right side
    12,385x = 715,228,164.06
  5. Step 5: Solve for x
    x = 715,228,164.06/12,385
  6. Step 6: Final answer
    x = 57,749.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.