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Finding the Third Proportional to 34,695 and 74,309.25

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Solution

The third proportional to 34,695 and 74,309.25 is: 159,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695 : 74,309.25 = 74,309.25 : x
  2. Step 2: Convert to fraction form
    34,695/74,309.25 = 74,309.25/x
  3. Step 3: Cross multiply
    34,695x = 74,309.25 × 74,309.25
  4. Step 4: Simplify right side
    34,695x = 5,521,864,635.56
  5. Step 5: Solve for x
    x = 5,521,864,635.56/34,695
  6. Step 6: Final answer
    x = 159,154.48

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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.