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Finding the Third Proportional to 29,692 and 60,594

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Solution

The third proportional to 29,692 and 60,594 is: 123,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692 : 60,594 = 60,594 : x
  2. Step 2: Convert to fraction form
    29,692/60,594 = 60,594/x
  3. Step 3: Cross multiply
    29,692x = 60,594 × 60,594
  4. Step 4: Simplify right side
    29,692x = 3,671,632,836
  5. Step 5: Solve for x
    x = 3,671,632,836/29,692
  6. Step 6: Final answer
    x = 123,657.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.