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Finding the Third Proportional to 34,640 and 75,758

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Solution

The third proportional to 34,640 and 75,758 is: 165,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640 : 75,758 = 75,758 : x
  2. Step 2: Convert to fraction form
    34,640/75,758 = 75,758/x
  3. Step 3: Cross multiply
    34,640x = 75,758 × 75,758
  4. Step 4: Simplify right side
    34,640x = 5,739,274,564
  5. Step 5: Solve for x
    x = 5,739,274,564/34,640
  6. Step 6: Final answer
    x = 165,683.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.