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Finding the Third Proportional to 51,898.50 and 77,850

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Solution

The third proportional to 51,898.50 and 77,850 is: 116,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.50 : 77,850 = 77,850 : x
  2. Step 2: Convert to fraction form
    51,898.50/77,850 = 77,850/x
  3. Step 3: Cross multiply
    51,898.50x = 77,850 × 77,850
  4. Step 4: Simplify right side
    51,898.50x = 6,060,622,500
  5. Step 5: Solve for x
    x = 6,060,622,500/51,898.50
  6. Step 6: Final answer
    x = 116,778.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.