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Finding the Third Proportional to 15,123 and 32,069.25

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Solution

The third proportional to 15,123 and 32,069.25 is: 68,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123 : 32,069.25 = 32,069.25 : x
  2. Step 2: Convert to fraction form
    15,123/32,069.25 = 32,069.25/x
  3. Step 3: Cross multiply
    15,123x = 32,069.25 × 32,069.25
  4. Step 4: Simplify right side
    15,123x = 1,028,436,795.56
  5. Step 5: Solve for x
    x = 1,028,436,795.56/15,123
  6. Step 6: Final answer
    x = 68,004.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.