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Finding the Third Proportional to 45,884.25 and 64,616.63

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Solution

The third proportional to 45,884.25 and 64,616.63 is: 90,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,884.25 : 64,616.63 = 64,616.63 : x
  2. Step 2: Convert to fraction form
    45,884.25/64,616.63 = 64,616.63/x
  3. Step 3: Cross multiply
    45,884.25x = 64,616.63 × 64,616.63
  4. Step 4: Simplify right side
    45,884.25x = 4,175,308,226.39
  5. Step 5: Solve for x
    x = 4,175,308,226.39/45,884.25
  6. Step 6: Final answer
    x = 90,996.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.