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Finding the Third Proportional to 43,044 and 66,477

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Solution

The third proportional to 43,044 and 66,477 is: 102,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,044 : 66,477 = 66,477 : x
  2. Step 2: Convert to fraction form
    43,044/66,477 = 66,477/x
  3. Step 3: Cross multiply
    43,044x = 66,477 × 66,477
  4. Step 4: Simplify right side
    43,044x = 4,419,191,529
  5. Step 5: Solve for x
    x = 4,419,191,529/43,044
  6. Step 6: Final answer
    x = 102,666.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.