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Finding the Third Proportional to 34,052 and 51,780

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Solution

The third proportional to 34,052 and 51,780 is: 78,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052 : 51,780 = 51,780 : x
  2. Step 2: Convert to fraction form
    34,052/51,780 = 51,780/x
  3. Step 3: Cross multiply
    34,052x = 51,780 × 51,780
  4. Step 4: Simplify right side
    34,052x = 2,681,168,400
  5. Step 5: Solve for x
    x = 2,681,168,400/34,052
  6. Step 6: Final answer
    x = 78,737.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.