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Finding the Third Proportional to 12,333.75 and 26,763.75

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Solution

The third proportional to 12,333.75 and 26,763.75 is: 58,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.75 : 26,763.75 = 26,763.75 : x
  2. Step 2: Convert to fraction form
    12,333.75/26,763.75 = 26,763.75/x
  3. Step 3: Cross multiply
    12,333.75x = 26,763.75 × 26,763.75
  4. Step 4: Simplify right side
    12,333.75x = 716,298,314.06
  5. Step 5: Solve for x
    x = 716,298,314.06/12,333.75
  6. Step 6: Final answer
    x = 58,076.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.