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Finding the Third Proportional to 34,996 and 75,608

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Solution

The third proportional to 34,996 and 75,608 is: 163,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,996 : 75,608 = 75,608 : x
  2. Step 2: Convert to fraction form
    34,996/75,608 = 75,608/x
  3. Step 3: Cross multiply
    34,996x = 75,608 × 75,608
  4. Step 4: Simplify right side
    34,996x = 5,716,569,664
  5. Step 5: Solve for x
    x = 5,716,569,664/34,996
  6. Step 6: Final answer
    x = 163,349.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.