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Finding the Third Proportional to 15,153.50 and 20,383.75

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Solution

The third proportional to 15,153.50 and 20,383.75 is: 27,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.50 : 20,383.75 = 20,383.75 : x
  2. Step 2: Convert to fraction form
    15,153.50/20,383.75 = 20,383.75/x
  3. Step 3: Cross multiply
    15,153.50x = 20,383.75 × 20,383.75
  4. Step 4: Simplify right side
    15,153.50x = 415,497,264.06
  5. Step 5: Solve for x
    x = 415,497,264.06/15,153.50
  6. Step 6: Final answer
    x = 27,419.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.