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Finding the Third Proportional to 29,213.16 and 44,096.91

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Solution

The third proportional to 29,213.16 and 44,096.91 is: 66,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,213.16 : 44,096.91 = 44,096.91 : x
  2. Step 2: Convert to fraction form
    29,213.16/44,096.91 = 44,096.91/x
  3. Step 3: Cross multiply
    29,213.16x = 44,096.91 × 44,096.91
  4. Step 4: Simplify right side
    29,213.16x = 1,944,537,140.82
  5. Step 5: Solve for x
    x = 1,944,537,140.82/29,213.16
  6. Step 6: Final answer
    x = 66,563.75

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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.