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Finding the Third Proportional to 21,348 and 33,492

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Solution

The third proportional to 21,348 and 33,492 is: 52,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 33,492 = 33,492 : x
  2. Step 2: Convert to fraction form
    21,348/33,492 = 33,492/x
  3. Step 3: Cross multiply
    21,348x = 33,492 × 33,492
  4. Step 4: Simplify right side
    21,348x = 1,121,714,064
  5. Step 5: Solve for x
    x = 1,121,714,064/21,348
  6. Step 6: Final answer
    x = 52,544.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.