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Finding the Third Proportional to 29,738 and 43,490

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Solution

The third proportional to 29,738 and 43,490 is: 63,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738 : 43,490 = 43,490 : x
  2. Step 2: Convert to fraction form
    29,738/43,490 = 43,490/x
  3. Step 3: Cross multiply
    29,738x = 43,490 × 43,490
  4. Step 4: Simplify right side
    29,738x = 1,891,380,100
  5. Step 5: Solve for x
    x = 1,891,380,100/29,738
  6. Step 6: Final answer
    x = 63,601.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.