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Finding the Third Proportional to 29,545 and 44,214

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Solution

The third proportional to 29,545 and 44,214 is: 66,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545 : 44,214 = 44,214 : x
  2. Step 2: Convert to fraction form
    29,545/44,214 = 44,214/x
  3. Step 3: Cross multiply
    29,545x = 44,214 × 44,214
  4. Step 4: Simplify right side
    29,545x = 1,954,877,796
  5. Step 5: Solve for x
    x = 1,954,877,796/29,545
  6. Step 6: Final answer
    x = 66,166.11

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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.