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Finding the Third Proportional to 43,446 and 64,977

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Solution

The third proportional to 43,446 and 64,977 is: 97,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,446 : 64,977 = 64,977 : x
  2. Step 2: Convert to fraction form
    43,446/64,977 = 64,977/x
  3. Step 3: Cross multiply
    43,446x = 64,977 × 64,977
  4. Step 4: Simplify right side
    43,446x = 4,222,010,529
  5. Step 5: Solve for x
    x = 4,222,010,529/43,446
  6. Step 6: Final answer
    x = 97,178.35

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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.