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Finding the Third Proportional to 28,507.50 and 68,586.75

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Solution

The third proportional to 28,507.50 and 68,586.75 is: 165,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,507.50 : 68,586.75 = 68,586.75 : x
  2. Step 2: Convert to fraction form
    28,507.50/68,586.75 = 68,586.75/x
  3. Step 3: Cross multiply
    28,507.50x = 68,586.75 × 68,586.75
  4. Step 4: Simplify right side
    28,507.50x = 4,704,142,275.56
  5. Step 5: Solve for x
    x = 4,704,142,275.56/28,507.50
  6. Step 6: Final answer
    x = 165,014.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.