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Finding the Third Proportional to 51,773.50 and 76,931

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Solution

The third proportional to 51,773.50 and 76,931 is: 114,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,773.50 : 76,931 = 76,931 : x
  2. Step 2: Convert to fraction form
    51,773.50/76,931 = 76,931/x
  3. Step 3: Cross multiply
    51,773.50x = 76,931 × 76,931
  4. Step 4: Simplify right side
    51,773.50x = 5,918,378,761
  5. Step 5: Solve for x
    x = 5,918,378,761/51,773.50
  6. Step 6: Final answer
    x = 114,312.90

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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.