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Finding the Third Proportional to 5,314 and 11,492

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Solution

The third proportional to 5,314 and 11,492 is: 24,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314 : 11,492 = 11,492 : x
  2. Step 2: Convert to fraction form
    5,314/11,492 = 11,492/x
  3. Step 3: Cross multiply
    5,314x = 11,492 × 11,492
  4. Step 4: Simplify right side
    5,314x = 132,066,064
  5. Step 5: Solve for x
    x = 132,066,064/5,314
  6. Step 6: Final answer
    x = 24,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.