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Finding the Third Proportional to 15,463.50 and 23,925

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Solution

The third proportional to 15,463.50 and 23,925 is: 37,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463.50 : 23,925 = 23,925 : x
  2. Step 2: Convert to fraction form
    15,463.50/23,925 = 23,925/x
  3. Step 3: Cross multiply
    15,463.50x = 23,925 × 23,925
  4. Step 4: Simplify right side
    15,463.50x = 572,405,625
  5. Step 5: Solve for x
    x = 572,405,625/15,463.50
  6. Step 6: Final answer
    x = 37,016.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.