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Finding the Third Proportional to 5,270.44 and 7,903.13

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Solution

The third proportional to 5,270.44 and 7,903.13 is: 11,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.44 : 7,903.13 = 7,903.13 : x
  2. Step 2: Convert to fraction form
    5,270.44/7,903.13 = 7,903.13/x
  3. Step 3: Cross multiply
    5,270.44x = 7,903.13 × 7,903.13
  4. Step 4: Simplify right side
    5,270.44x = 62,459,384.77
  5. Step 5: Solve for x
    x = 62,459,384.77/5,270.44
  6. Step 6: Final answer
    x = 11,850.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.