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Finding the Third Proportional to 34,024 and 51,072

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Solution

The third proportional to 34,024 and 51,072 is: 76,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,024 : 51,072 = 51,072 : x
  2. Step 2: Convert to fraction form
    34,024/51,072 = 51,072/x
  3. Step 3: Cross multiply
    34,024x = 51,072 × 51,072
  4. Step 4: Simplify right side
    34,024x = 2,608,349,184
  5. Step 5: Solve for x
    x = 2,608,349,184/34,024
  6. Step 6: Final answer
    x = 76,662.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.