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Finding the Third Proportional to 12,703.50 and 27,867

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Solution

The third proportional to 12,703.50 and 27,867 is: 61,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.50 : 27,867 = 27,867 : x
  2. Step 2: Convert to fraction form
    12,703.50/27,867 = 27,867/x
  3. Step 3: Cross multiply
    12,703.50x = 27,867 × 27,867
  4. Step 4: Simplify right side
    12,703.50x = 776,569,689
  5. Step 5: Solve for x
    x = 776,569,689/12,703.50
  6. Step 6: Final answer
    x = 61,130.37

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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.