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Finding the Third Proportional to 13,534.50 and 20,302.50

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Solution

The third proportional to 13,534.50 and 20,302.50 is: 30,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.50 : 20,302.50 = 20,302.50 : x
  2. Step 2: Convert to fraction form
    13,534.50/20,302.50 = 20,302.50/x
  3. Step 3: Cross multiply
    13,534.50x = 20,302.50 × 20,302.50
  4. Step 4: Simplify right side
    13,534.50x = 412,191,506.25
  5. Step 5: Solve for x
    x = 412,191,506.25/13,534.50
  6. Step 6: Final answer
    x = 30,454.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.