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Finding the Third Proportional to 16,125.50 and 24,907.25

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Solution

The third proportional to 16,125.50 and 24,907.25 is: 38,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.50 : 24,907.25 = 24,907.25 : x
  2. Step 2: Convert to fraction form
    16,125.50/24,907.25 = 24,907.25/x
  3. Step 3: Cross multiply
    16,125.50x = 24,907.25 × 24,907.25
  4. Step 4: Simplify right side
    16,125.50x = 620,371,102.56
  5. Step 5: Solve for x
    x = 620,371,102.56/16,125.50
  6. Step 6: Final answer
    x = 38,471.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.