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Finding the Third Proportional to 29,571 and 44,664

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Solution

The third proportional to 29,571 and 44,664 is: 67,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571 : 44,664 = 44,664 : x
  2. Step 2: Convert to fraction form
    29,571/44,664 = 44,664/x
  3. Step 3: Cross multiply
    29,571x = 44,664 × 44,664
  4. Step 4: Simplify right side
    29,571x = 1,994,872,896
  5. Step 5: Solve for x
    x = 1,994,872,896/29,571
  6. Step 6: Final answer
    x = 67,460.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.