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Finding the Third Proportional to 30,759 and 40,389

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Solution

The third proportional to 30,759 and 40,389 is: 53,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759 : 40,389 = 40,389 : x
  2. Step 2: Convert to fraction form
    30,759/40,389 = 40,389/x
  3. Step 3: Cross multiply
    30,759x = 40,389 × 40,389
  4. Step 4: Simplify right side
    30,759x = 1,631,271,321
  5. Step 5: Solve for x
    x = 1,631,271,321/30,759
  6. Step 6: Final answer
    x = 53,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.