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Finding the Third Proportional to 40,144 and 46,000

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Solution

The third proportional to 40,144 and 46,000 is: 52,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,144 : 46,000 = 46,000 : x
  2. Step 2: Convert to fraction form
    40,144/46,000 = 46,000/x
  3. Step 3: Cross multiply
    40,144x = 46,000 × 46,000
  4. Step 4: Simplify right side
    40,144x = 2,116,000,000
  5. Step 5: Solve for x
    x = 2,116,000,000/40,144
  6. Step 6: Final answer
    x = 52,710.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.