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Finding the Third Proportional to 29,820 and 44,034

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Solution

The third proportional to 29,820 and 44,034 is: 65,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 44,034 = 44,034 : x
  2. Step 2: Convert to fraction form
    29,820/44,034 = 44,034/x
  3. Step 3: Cross multiply
    29,820x = 44,034 × 44,034
  4. Step 4: Simplify right side
    29,820x = 1,938,993,156
  5. Step 5: Solve for x
    x = 1,938,993,156/29,820
  6. Step 6: Final answer
    x = 65,023.24

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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.