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Finding the Third Proportional to 30,360 and 43,002

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Solution

The third proportional to 30,360 and 43,002 is: 60,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,360 : 43,002 = 43,002 : x
  2. Step 2: Convert to fraction form
    30,360/43,002 = 43,002/x
  3. Step 3: Cross multiply
    30,360x = 43,002 × 43,002
  4. Step 4: Simplify right side
    30,360x = 1,849,172,004
  5. Step 5: Solve for x
    x = 1,849,172,004/30,360
  6. Step 6: Final answer
    x = 60,908.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.