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Finding the Third Proportional to 8,408 and 13,433

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Solution

The third proportional to 8,408 and 13,433 is: 21,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408 : 13,433 = 13,433 : x
  2. Step 2: Convert to fraction form
    8,408/13,433 = 13,433/x
  3. Step 3: Cross multiply
    8,408x = 13,433 × 13,433
  4. Step 4: Simplify right side
    8,408x = 180,445,489
  5. Step 5: Solve for x
    x = 180,445,489/8,408
  6. Step 6: Final answer
    x = 21,461.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.