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Finding the Third Proportional to 20,770 and 45,412

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Solution

The third proportional to 20,770 and 45,412 is: 99,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770 : 45,412 = 45,412 : x
  2. Step 2: Convert to fraction form
    20,770/45,412 = 45,412/x
  3. Step 3: Cross multiply
    20,770x = 45,412 × 45,412
  4. Step 4: Simplify right side
    20,770x = 2,062,249,744
  5. Step 5: Solve for x
    x = 2,062,249,744/20,770
  6. Step 6: Final answer
    x = 99,289.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.