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Finding the Third Proportional to 41,765.63 and 64,744.31

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Solution

The third proportional to 41,765.63 and 64,744.31 is: 100,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,765.63 : 64,744.31 = 64,744.31 : x
  2. Step 2: Convert to fraction form
    41,765.63/64,744.31 = 64,744.31/x
  3. Step 3: Cross multiply
    41,765.63x = 64,744.31 × 64,744.31
  4. Step 4: Simplify right side
    41,765.63x = 4,191,826,001.10
  5. Step 5: Solve for x
    x = 4,191,826,001.10/41,765.63
  6. Step 6: Final answer
    x = 100,365.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.