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Finding the Third Proportional to 21,309 and 33,085.50

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Solution

The third proportional to 21,309 and 33,085.50 is: 51,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309 : 33,085.50 = 33,085.50 : x
  2. Step 2: Convert to fraction form
    21,309/33,085.50 = 33,085.50/x
  3. Step 3: Cross multiply
    21,309x = 33,085.50 × 33,085.50
  4. Step 4: Simplify right side
    21,309x = 1,094,650,310.25
  5. Step 5: Solve for x
    x = 1,094,650,310.25/21,309
  6. Step 6: Final answer
    x = 51,370.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.