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Finding the Third Proportional to 34,976 and 75,535

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Solution

The third proportional to 34,976 and 75,535 is: 163,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,976 : 75,535 = 75,535 : x
  2. Step 2: Convert to fraction form
    34,976/75,535 = 75,535/x
  3. Step 3: Cross multiply
    34,976x = 75,535 × 75,535
  4. Step 4: Simplify right side
    34,976x = 5,705,536,225
  5. Step 5: Solve for x
    x = 5,705,536,225/34,976
  6. Step 6: Final answer
    x = 163,127.18

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