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Finding the Third Proportional to 5,515.25 and 10,472.50

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Solution

The third proportional to 5,515.25 and 10,472.50 is: 19,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,515.25 : 10,472.50 = 10,472.50 : x
  2. Step 2: Convert to fraction form
    5,515.25/10,472.50 = 10,472.50/x
  3. Step 3: Cross multiply
    5,515.25x = 10,472.50 × 10,472.50
  4. Step 4: Simplify right side
    5,515.25x = 109,673,256.25
  5. Step 5: Solve for x
    x = 109,673,256.25/5,515.25
  6. Step 6: Final answer
    x = 19,885.46

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.