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Finding the Third Proportional to 34,050 and 51,798

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Solution

The third proportional to 34,050 and 51,798 is: 78,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050 : 51,798 = 51,798 : x
  2. Step 2: Convert to fraction form
    34,050/51,798 = 51,798/x
  3. Step 3: Cross multiply
    34,050x = 51,798 × 51,798
  4. Step 4: Simplify right side
    34,050x = 2,683,032,804
  5. Step 5: Solve for x
    x = 2,683,032,804/34,050
  6. Step 6: Final answer
    x = 78,796.85

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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.