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Finding the Third Proportional to 20,747 and 45,018

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Solution

The third proportional to 20,747 and 45,018 is: 97,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747 : 45,018 = 45,018 : x
  2. Step 2: Convert to fraction form
    20,747/45,018 = 45,018/x
  3. Step 3: Cross multiply
    20,747x = 45,018 × 45,018
  4. Step 4: Simplify right side
    20,747x = 2,026,620,324
  5. Step 5: Solve for x
    x = 2,026,620,324/20,747
  6. Step 6: Final answer
    x = 97,682.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.