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Finding the Third Proportional to 10,193.25 and 15,672.38

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Solution

The third proportional to 10,193.25 and 15,672.38 is: 24,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.25 : 15,672.38 = 15,672.38 : x
  2. Step 2: Convert to fraction form
    10,193.25/15,672.38 = 15,672.38/x
  3. Step 3: Cross multiply
    10,193.25x = 15,672.38 × 15,672.38
  4. Step 4: Simplify right side
    10,193.25x = 245,623,338.14
  5. Step 5: Solve for x
    x = 245,623,338.14/10,193.25
  6. Step 6: Final answer
    x = 24,096.67

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1.5x scale

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.