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Finding the Third Proportional to 13,354.50 and 28,851

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Solution

The third proportional to 13,354.50 and 28,851 is: 62,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.50 : 28,851 = 28,851 : x
  2. Step 2: Convert to fraction form
    13,354.50/28,851 = 28,851/x
  3. Step 3: Cross multiply
    13,354.50x = 28,851 × 28,851
  4. Step 4: Simplify right side
    13,354.50x = 832,380,201
  5. Step 5: Solve for x
    x = 832,380,201/13,354.50
  6. Step 6: Final answer
    x = 62,329.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.