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Finding the Third Proportional to 29,550 and 61,593

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Solution

The third proportional to 29,550 and 61,593 is: 128,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,550 : 61,593 = 61,593 : x
  2. Step 2: Convert to fraction form
    29,550/61,593 = 61,593/x
  3. Step 3: Cross multiply
    29,550x = 61,593 × 61,593
  4. Step 4: Simplify right side
    29,550x = 3,793,697,649
  5. Step 5: Solve for x
    x = 3,793,697,649/29,550
  6. Step 6: Final answer
    x = 128,382.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.