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Finding the Third Proportional to 20,548.69 and 45,537.19

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Solution

The third proportional to 20,548.69 and 45,537.19 is: 100,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.69 : 45,537.19 = 45,537.19 : x
  2. Step 2: Convert to fraction form
    20,548.69/45,537.19 = 45,537.19/x
  3. Step 3: Cross multiply
    20,548.69x = 45,537.19 × 45,537.19
  4. Step 4: Simplify right side
    20,548.69x = 2,073,635,445.41
  5. Step 5: Solve for x
    x = 2,073,635,445.41/20,548.69
  6. Step 6: Final answer
    x = 100,913.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.