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Finding the Third Proportional to 34,911 and 74,743

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Solution

The third proportional to 34,911 and 74,743 is: 160,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,911 : 74,743 = 74,743 : x
  2. Step 2: Convert to fraction form
    34,911/74,743 = 74,743/x
  3. Step 3: Cross multiply
    34,911x = 74,743 × 74,743
  4. Step 4: Simplify right side
    34,911x = 5,586,516,049
  5. Step 5: Solve for x
    x = 5,586,516,049/34,911
  6. Step 6: Final answer
    x = 160,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.