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Finding the Third Proportional to 5,824 and 8,492

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Solution

The third proportional to 5,824 and 8,492 is: 12,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 8,492 = 8,492 : x
  2. Step 2: Convert to fraction form
    5,824/8,492 = 8,492/x
  3. Step 3: Cross multiply
    5,824x = 8,492 × 8,492
  4. Step 4: Simplify right side
    5,824x = 72,114,064
  5. Step 5: Solve for x
    x = 72,114,064/5,824
  6. Step 6: Final answer
    x = 12,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.