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Finding the Third Proportional to 34,600.88 and 51,721.13

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Solution

The third proportional to 34,600.88 and 51,721.13 is: 77,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600.88 : 51,721.13 = 51,721.13 : x
  2. Step 2: Convert to fraction form
    34,600.88/51,721.13 = 51,721.13/x
  3. Step 3: Cross multiply
    34,600.88x = 51,721.13 × 51,721.13
  4. Step 4: Simplify right side
    34,600.88x = 2,675,074,771.27
  5. Step 5: Solve for x
    x = 2,675,074,771.27/34,600.88
  6. Step 6: Final answer
    x = 77,312.34

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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.