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Finding the Third Proportional to 30,172 and 46,039

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Solution

The third proportional to 30,172 and 46,039 is: 70,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172 : 46,039 = 46,039 : x
  2. Step 2: Convert to fraction form
    30,172/46,039 = 46,039/x
  3. Step 3: Cross multiply
    30,172x = 46,039 × 46,039
  4. Step 4: Simplify right side
    30,172x = 2,119,589,521
  5. Step 5: Solve for x
    x = 2,119,589,521/30,172
  6. Step 6: Final answer
    x = 70,250.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.