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Finding the Third Proportional to 30,398 and 46,002

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Solution

The third proportional to 30,398 and 46,002 is: 69,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398 : 46,002 = 46,002 : x
  2. Step 2: Convert to fraction form
    30,398/46,002 = 46,002/x
  3. Step 3: Cross multiply
    30,398x = 46,002 × 46,002
  4. Step 4: Simplify right side
    30,398x = 2,116,184,004
  5. Step 5: Solve for x
    x = 2,116,184,004/30,398
  6. Step 6: Final answer
    x = 69,615.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.