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Finding the Third Proportional to 43,346 and 56,622

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Solution

The third proportional to 43,346 and 56,622 is: 73,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 56,622 = 56,622 : x
  2. Step 2: Convert to fraction form
    43,346/56,622 = 56,622/x
  3. Step 3: Cross multiply
    43,346x = 56,622 × 56,622
  4. Step 4: Simplify right side
    43,346x = 3,206,050,884
  5. Step 5: Solve for x
    x = 3,206,050,884/43,346
  6. Step 6: Final answer
    x = 73,964.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.