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Finding the Third Proportional to 15,675 and 23,800.50

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Solution

The third proportional to 15,675 and 23,800.50 is: 36,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675 : 23,800.50 = 23,800.50 : x
  2. Step 2: Convert to fraction form
    15,675/23,800.50 = 23,800.50/x
  3. Step 3: Cross multiply
    15,675x = 23,800.50 × 23,800.50
  4. Step 4: Simplify right side
    15,675x = 566,463,800.25
  5. Step 5: Solve for x
    x = 566,463,800.25/15,675
  6. Step 6: Final answer
    x = 36,138.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.