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Finding the Third Proportional to 5,254 and 8,413

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Solution

The third proportional to 5,254 and 8,413 is: 13,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254 : 8,413 = 8,413 : x
  2. Step 2: Convert to fraction form
    5,254/8,413 = 8,413/x
  3. Step 3: Cross multiply
    5,254x = 8,413 × 8,413
  4. Step 4: Simplify right side
    5,254x = 70,778,569
  5. Step 5: Solve for x
    x = 70,778,569/5,254
  6. Step 6: Final answer
    x = 13,471.37

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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.