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Finding the Third Proportional to 13,506.75 and 28,865.25

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Solution

The third proportional to 13,506.75 and 28,865.25 is: 61,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.75 : 28,865.25 = 28,865.25 : x
  2. Step 2: Convert to fraction form
    13,506.75/28,865.25 = 28,865.25/x
  3. Step 3: Cross multiply
    13,506.75x = 28,865.25 × 28,865.25
  4. Step 4: Simplify right side
    13,506.75x = 833,202,657.56
  5. Step 5: Solve for x
    x = 833,202,657.56/13,506.75
  6. Step 6: Final answer
    x = 61,687.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.