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Finding the Third Proportional to 34,278.38 and 51,782.06

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Solution

The third proportional to 34,278.38 and 51,782.06 is: 78,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278.38 : 51,782.06 = 51,782.06 : x
  2. Step 2: Convert to fraction form
    34,278.38/51,782.06 = 51,782.06/x
  3. Step 3: Cross multiply
    34,278.38x = 51,782.06 × 51,782.06
  4. Step 4: Simplify right side
    34,278.38x = 2,681,381,996.75
  5. Step 5: Solve for x
    x = 2,681,381,996.75/34,278.38
  6. Step 6: Final answer
    x = 78,223.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.