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Finding the Third Proportional to 43,772 and 66,018

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Solution

The third proportional to 43,772 and 66,018 is: 99,569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,772 : 66,018 = 66,018 : x
  2. Step 2: Convert to fraction form
    43,772/66,018 = 66,018/x
  3. Step 3: Cross multiply
    43,772x = 66,018 × 66,018
  4. Step 4: Simplify right side
    43,772x = 4,358,376,324
  5. Step 5: Solve for x
    x = 4,358,376,324/43,772
  6. Step 6: Final answer
    x = 99,569.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.