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Finding the Third Proportional to 45,914 and 64,990

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Solution

The third proportional to 45,914 and 64,990 is: 91,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,914 : 64,990 = 64,990 : x
  2. Step 2: Convert to fraction form
    45,914/64,990 = 64,990/x
  3. Step 3: Cross multiply
    45,914x = 64,990 × 64,990
  4. Step 4: Simplify right side
    45,914x = 4,223,700,100
  5. Step 5: Solve for x
    x = 4,223,700,100/45,914
  6. Step 6: Final answer
    x = 91,991.55

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.