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Finding the Third Proportional to 34,749 and 74,763

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Solution

The third proportional to 34,749 and 74,763 is: 160,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 74,763 = 74,763 : x
  2. Step 2: Convert to fraction form
    34,749/74,763 = 74,763/x
  3. Step 3: Cross multiply
    34,749x = 74,763 × 74,763
  4. Step 4: Simplify right side
    34,749x = 5,589,506,169
  5. Step 5: Solve for x
    x = 5,589,506,169/34,749
  6. Step 6: Final answer
    x = 160,853.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.