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Finding the Third Proportional to 13,650.75 and 21,057.75

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Solution

The third proportional to 13,650.75 and 21,057.75 is: 32,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.75 : 21,057.75 = 21,057.75 : x
  2. Step 2: Convert to fraction form
    13,650.75/21,057.75 = 21,057.75/x
  3. Step 3: Cross multiply
    13,650.75x = 21,057.75 × 21,057.75
  4. Step 4: Simplify right side
    13,650.75x = 443,428,835.06
  5. Step 5: Solve for x
    x = 443,428,835.06/13,650.75
  6. Step 6: Final answer
    x = 32,483.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.