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Finding the Third Proportional to 29,381.50 and 43,505

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Solution

The third proportional to 29,381.50 and 43,505 is: 64,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.50 : 43,505 = 43,505 : x
  2. Step 2: Convert to fraction form
    29,381.50/43,505 = 43,505/x
  3. Step 3: Cross multiply
    29,381.50x = 43,505 × 43,505
  4. Step 4: Simplify right side
    29,381.50x = 1,892,685,025
  5. Step 5: Solve for x
    x = 1,892,685,025/29,381.50
  6. Step 6: Final answer
    x = 64,417.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.