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Finding the Third Proportional to 34,506.75 and 51,933.75

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Solution

The third proportional to 34,506.75 and 51,933.75 is: 78,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.75 : 51,933.75 = 51,933.75 : x
  2. Step 2: Convert to fraction form
    34,506.75/51,933.75 = 51,933.75/x
  3. Step 3: Cross multiply
    34,506.75x = 51,933.75 × 51,933.75
  4. Step 4: Simplify right side
    34,506.75x = 2,697,114,389.06
  5. Step 5: Solve for x
    x = 2,697,114,389.06/34,506.75
  6. Step 6: Final answer
    x = 78,161.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.