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Finding the Third Proportional to 30,267.75 and 59,763

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Solution

The third proportional to 30,267.75 and 59,763 is: 118,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.75 : 59,763 = 59,763 : x
  2. Step 2: Convert to fraction form
    30,267.75/59,763 = 59,763/x
  3. Step 3: Cross multiply
    30,267.75x = 59,763 × 59,763
  4. Step 4: Simplify right side
    30,267.75x = 3,571,616,169
  5. Step 5: Solve for x
    x = 3,571,616,169/30,267.75
  6. Step 6: Final answer
    x = 118,000.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.