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Finding the Third Proportional to 13,028 and 19,108

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Solution

The third proportional to 13,028 and 19,108 is: 28,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028 : 19,108 = 19,108 : x
  2. Step 2: Convert to fraction form
    13,028/19,108 = 19,108/x
  3. Step 3: Cross multiply
    13,028x = 19,108 × 19,108
  4. Step 4: Simplify right side
    13,028x = 365,115,664
  5. Step 5: Solve for x
    x = 365,115,664/13,028
  6. Step 6: Final answer
    x = 28,025.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.