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Finding the Third Proportional to 34,558.50 and 51,969.75

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Solution

The third proportional to 34,558.50 and 51,969.75 is: 78,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,558.50 : 51,969.75 = 51,969.75 : x
  2. Step 2: Convert to fraction form
    34,558.50/51,969.75 = 51,969.75/x
  3. Step 3: Cross multiply
    34,558.50x = 51,969.75 × 51,969.75
  4. Step 4: Simplify right side
    34,558.50x = 2,700,854,915.06
  5. Step 5: Solve for x
    x = 2,700,854,915.06/34,558.50
  6. Step 6: Final answer
    x = 78,153.13

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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.