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Finding the Third Proportional to 30,546 and 40,542

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Solution

The third proportional to 30,546 and 40,542 is: 53,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546 : 40,542 = 40,542 : x
  2. Step 2: Convert to fraction form
    30,546/40,542 = 40,542/x
  3. Step 3: Cross multiply
    30,546x = 40,542 × 40,542
  4. Step 4: Simplify right side
    30,546x = 1,643,653,764
  5. Step 5: Solve for x
    x = 1,643,653,764/30,546
  6. Step 6: Final answer
    x = 53,809.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.