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Finding the Third Proportional to 8,264 and 19,130

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Solution

The third proportional to 8,264 and 19,130 is: 44,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 19,130 = 19,130 : x
  2. Step 2: Convert to fraction form
    8,264/19,130 = 19,130/x
  3. Step 3: Cross multiply
    8,264x = 19,130 × 19,130
  4. Step 4: Simplify right side
    8,264x = 365,956,900
  5. Step 5: Solve for x
    x = 365,956,900/8,264
  6. Step 6: Final answer
    x = 44,283.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.