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Finding the Third Proportional to 20,533 and 44,347

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Solution

The third proportional to 20,533 and 44,347 is: 95,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533 : 44,347 = 44,347 : x
  2. Step 2: Convert to fraction form
    20,533/44,347 = 44,347/x
  3. Step 3: Cross multiply
    20,533x = 44,347 × 44,347
  4. Step 4: Simplify right side
    20,533x = 1,966,656,409
  5. Step 5: Solve for x
    x = 1,966,656,409/20,533
  6. Step 6: Final answer
    x = 95,780.28

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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.