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Finding the Third Proportional to 5,669 and 8,323

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Solution

The third proportional to 5,669 and 8,323 is: 12,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669 : 8,323 = 8,323 : x
  2. Step 2: Convert to fraction form
    5,669/8,323 = 8,323/x
  3. Step 3: Cross multiply
    5,669x = 8,323 × 8,323
  4. Step 4: Simplify right side
    5,669x = 69,272,329
  5. Step 5: Solve for x
    x = 69,272,329/5,669
  6. Step 6: Final answer
    x = 12,219.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.