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Finding the Third Proportional to 34,044 and 49,034

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Solution

The third proportional to 34,044 and 49,034 is: 70,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044 : 49,034 = 49,034 : x
  2. Step 2: Convert to fraction form
    34,044/49,034 = 49,034/x
  3. Step 3: Cross multiply
    34,044x = 49,034 × 49,034
  4. Step 4: Simplify right side
    34,044x = 2,404,333,156
  5. Step 5: Solve for x
    x = 2,404,333,156/34,044
  6. Step 6: Final answer
    x = 70,624.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.