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Finding the Third Proportional to 5,641 and 8,429

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Solution

The third proportional to 5,641 and 8,429 is: 12,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641 : 8,429 = 8,429 : x
  2. Step 2: Convert to fraction form
    5,641/8,429 = 8,429/x
  3. Step 3: Cross multiply
    5,641x = 8,429 × 8,429
  4. Step 4: Simplify right side
    5,641x = 71,048,041
  5. Step 5: Solve for x
    x = 71,048,041/5,641
  6. Step 6: Final answer
    x = 12,594.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.