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Finding the Third Proportional to 20,320 and 44,364

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Solution

The third proportional to 20,320 and 44,364 is: 96,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320 : 44,364 = 44,364 : x
  2. Step 2: Convert to fraction form
    20,320/44,364 = 44,364/x
  3. Step 3: Cross multiply
    20,320x = 44,364 × 44,364
  4. Step 4: Simplify right side
    20,320x = 1,968,164,496
  5. Step 5: Solve for x
    x = 1,968,164,496/20,320
  6. Step 6: Final answer
    x = 96,858.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.