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Finding the Third Proportional to 20,627.16 and 45,198.84

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Solution

The third proportional to 20,627.16 and 45,198.84 is: 99,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627.16 : 45,198.84 = 45,198.84 : x
  2. Step 2: Convert to fraction form
    20,627.16/45,198.84 = 45,198.84/x
  3. Step 3: Cross multiply
    20,627.16x = 45,198.84 × 45,198.84
  4. Step 4: Simplify right side
    20,627.16x = 2,042,935,476.34
  5. Step 5: Solve for x
    x = 2,042,935,476.34/20,627.16
  6. Step 6: Final answer
    x = 99,041.06

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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.