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Finding the Third Proportional to 15,928.50 and 23,898.75

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Solution

The third proportional to 15,928.50 and 23,898.75 is: 35,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928.50 : 23,898.75 = 23,898.75 : x
  2. Step 2: Convert to fraction form
    15,928.50/23,898.75 = 23,898.75/x
  3. Step 3: Cross multiply
    15,928.50x = 23,898.75 × 23,898.75
  4. Step 4: Simplify right side
    15,928.50x = 571,150,251.56
  5. Step 5: Solve for x
    x = 571,150,251.56/15,928.50
  6. Step 6: Final answer
    x = 35,857.13

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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.