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Finding the Third Proportional to 40,770 and 64,860.75

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Solution

The third proportional to 40,770 and 64,860.75 is: 103,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770 : 64,860.75 = 64,860.75 : x
  2. Step 2: Convert to fraction form
    40,770/64,860.75 = 64,860.75/x
  3. Step 3: Cross multiply
    40,770x = 64,860.75 × 64,860.75
  4. Step 4: Simplify right side
    40,770x = 4,206,916,890.56
  5. Step 5: Solve for x
    x = 4,206,916,890.56/40,770
  6. Step 6: Final answer
    x = 103,186.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.