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Finding the Third Proportional to 29,538 and 44,306

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Solution

The third proportional to 29,538 and 44,306 is: 66,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538 : 44,306 = 44,306 : x
  2. Step 2: Convert to fraction form
    29,538/44,306 = 44,306/x
  3. Step 3: Cross multiply
    29,538x = 44,306 × 44,306
  4. Step 4: Simplify right side
    29,538x = 1,963,021,636
  5. Step 5: Solve for x
    x = 1,963,021,636/29,538
  6. Step 6: Final answer
    x = 66,457.50

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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.