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Finding the Third Proportional to 8,026 and 13,213

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Solution

The third proportional to 8,026 and 13,213 is: 21,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026 : 13,213 = 13,213 : x
  2. Step 2: Convert to fraction form
    8,026/13,213 = 13,213/x
  3. Step 3: Cross multiply
    8,026x = 13,213 × 13,213
  4. Step 4: Simplify right side
    8,026x = 174,583,369
  5. Step 5: Solve for x
    x = 174,583,369/8,026
  6. Step 6: Final answer
    x = 21,752.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.