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Finding the Third Proportional to 20,103.75 and 44,341.31

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Solution

The third proportional to 20,103.75 and 44,341.31 is: 97,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.75 : 44,341.31 = 44,341.31 : x
  2. Step 2: Convert to fraction form
    20,103.75/44,341.31 = 44,341.31/x
  3. Step 3: Cross multiply
    20,103.75x = 44,341.31 × 44,341.31
  4. Step 4: Simplify right side
    20,103.75x = 1,966,151,994.22
  5. Step 5: Solve for x
    x = 1,966,151,994.22/20,103.75
  6. Step 6: Final answer
    x = 97,800.26

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