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Finding the Third Proportional to 51,810.50 and 64,279.50

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Solution

The third proportional to 51,810.50 and 64,279.50 is: 79,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.50 : 64,279.50 = 64,279.50 : x
  2. Step 2: Convert to fraction form
    51,810.50/64,279.50 = 64,279.50/x
  3. Step 3: Cross multiply
    51,810.50x = 64,279.50 × 64,279.50
  4. Step 4: Simplify right side
    51,810.50x = 4,131,854,120.25
  5. Step 5: Solve for x
    x = 4,131,854,120.25/51,810.50
  6. Step 6: Final answer
    x = 79,749.36

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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.