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Finding the Third Proportional to 29,628 and 44,991

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Solution

The third proportional to 29,628 and 44,991 is: 68,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,628 : 44,991 = 44,991 : x
  2. Step 2: Convert to fraction form
    29,628/44,991 = 44,991/x
  3. Step 3: Cross multiply
    29,628x = 44,991 × 44,991
  4. Step 4: Simplify right side
    29,628x = 2,024,190,081
  5. Step 5: Solve for x
    x = 2,024,190,081/29,628
  6. Step 6: Final answer
    x = 68,320.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.