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Finding the Third Proportional to 29,859 and 46,604

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Solution

The third proportional to 29,859 and 46,604 is: 72,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859 : 46,604 = 46,604 : x
  2. Step 2: Convert to fraction form
    29,859/46,604 = 46,604/x
  3. Step 3: Cross multiply
    29,859x = 46,604 × 46,604
  4. Step 4: Simplify right side
    29,859x = 2,171,932,816
  5. Step 5: Solve for x
    x = 2,171,932,816/29,859
  6. Step 6: Final answer
    x = 72,739.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.