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Finding the Third Proportional to 12,379.50 and 21,854.25

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Solution

The third proportional to 12,379.50 and 21,854.25 is: 38,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,379.50 : 21,854.25 = 21,854.25 : x
  2. Step 2: Convert to fraction form
    12,379.50/21,854.25 = 21,854.25/x
  3. Step 3: Cross multiply
    12,379.50x = 21,854.25 × 21,854.25
  4. Step 4: Simplify right side
    12,379.50x = 477,608,243.06
  5. Step 5: Solve for x
    x = 477,608,243.06/12,379.50
  6. Step 6: Final answer
    x = 38,580.58

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.