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Finding the Third Proportional to 20,457.56 and 44,742.38

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Solution

The third proportional to 20,457.56 and 44,742.38 is: 97,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.56 : 44,742.38 = 44,742.38 : x
  2. Step 2: Convert to fraction form
    20,457.56/44,742.38 = 44,742.38/x
  3. Step 3: Cross multiply
    20,457.56x = 44,742.38 × 44,742.38
  4. Step 4: Simplify right side
    20,457.56x = 2,001,880,120.64
  5. Step 5: Solve for x
    x = 2,001,880,120.64/20,457.56
  6. Step 6: Final answer
    x = 97,855.26

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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.