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Finding the Third Proportional to 34,692 and 74,737.13

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Solution

The third proportional to 34,692 and 74,737.13 is: 161,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692 : 74,737.13 = 74,737.13 : x
  2. Step 2: Convert to fraction form
    34,692/74,737.13 = 74,737.13/x
  3. Step 3: Cross multiply
    34,692x = 74,737.13 × 74,737.13
  4. Step 4: Simplify right side
    34,692x = 5,585,637,853.27
  5. Step 5: Solve for x
    x = 5,585,637,853.27/34,692
  6. Step 6: Final answer
    x = 161,006.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.