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Finding the Third Proportional to 12,902 and 19,305

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Solution

The third proportional to 12,902 and 19,305 is: 28,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902 : 19,305 = 19,305 : x
  2. Step 2: Convert to fraction form
    12,902/19,305 = 19,305/x
  3. Step 3: Cross multiply
    12,902x = 19,305 × 19,305
  4. Step 4: Simplify right side
    12,902x = 372,683,025
  5. Step 5: Solve for x
    x = 372,683,025/12,902
  6. Step 6: Final answer
    x = 28,885.68

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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.