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Finding the Third Proportional to 44,326 and 66,521

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Solution

The third proportional to 44,326 and 66,521 is: 99,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,326 : 66,521 = 66,521 : x
  2. Step 2: Convert to fraction form
    44,326/66,521 = 66,521/x
  3. Step 3: Cross multiply
    44,326x = 66,521 × 66,521
  4. Step 4: Simplify right side
    44,326x = 4,425,043,441
  5. Step 5: Solve for x
    x = 4,425,043,441/44,326
  6. Step 6: Final answer
    x = 99,829.52

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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.