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Finding the Third Proportional to 43,049 and 64,616.50

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Solution

The third proportional to 43,049 and 64,616.50 is: 96,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,049 : 64,616.50 = 64,616.50 : x
  2. Step 2: Convert to fraction form
    43,049/64,616.50 = 64,616.50/x
  3. Step 3: Cross multiply
    43,049x = 64,616.50 × 64,616.50
  4. Step 4: Simplify right side
    43,049x = 4,175,292,072.25
  5. Step 5: Solve for x
    x = 4,175,292,072.25/43,049
  6. Step 6: Final answer
    x = 96,989.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.