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Finding the Third Proportional to 34,573 and 51,638

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Solution

The third proportional to 34,573 and 51,638 is: 77,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,573 : 51,638 = 51,638 : x
  2. Step 2: Convert to fraction form
    34,573/51,638 = 51,638/x
  3. Step 3: Cross multiply
    34,573x = 51,638 × 51,638
  4. Step 4: Simplify right side
    34,573x = 2,666,483,044
  5. Step 5: Solve for x
    x = 2,666,483,044/34,573
  6. Step 6: Final answer
    x = 77,126.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.