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Finding the Third Proportional to 20,461.36 and 45,224.58

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Solution

The third proportional to 20,461.36 and 45,224.58 is: 99,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.36 : 45,224.58 = 45,224.58 : x
  2. Step 2: Convert to fraction form
    20,461.36/45,224.58 = 45,224.58/x
  3. Step 3: Cross multiply
    20,461.36x = 45,224.58 × 45,224.58
  4. Step 4: Simplify right side
    20,461.36x = 2,045,262,466.58
  5. Step 5: Solve for x
    x = 2,045,262,466.58/20,461.36
  6. Step 6: Final answer
    x = 99,957.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.