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Finding the Third Proportional to 29,772 and 46,057

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Solution

The third proportional to 29,772 and 46,057 is: 71,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772 : 46,057 = 46,057 : x
  2. Step 2: Convert to fraction form
    29,772/46,057 = 46,057/x
  3. Step 3: Cross multiply
    29,772x = 46,057 × 46,057
  4. Step 4: Simplify right side
    29,772x = 2,121,247,249
  5. Step 5: Solve for x
    x = 2,121,247,249/29,772
  6. Step 6: Final answer
    x = 71,249.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.